What is the volume of a hemisphere with a radius of 4.9 ft, rounded to the nearest
tenth of a cubic foot?

Answers

Answer 1

The volume of the hemisphere with the given value of radius to the nearest tenth is 246.4 cubic foot.

Hemisphere

A hemisphere is gotten when a sphere is cut into two equal halves.

The volume of a hemisphere is expressed as;

V = (2/3)πr³

Where r is the radius and π is pi ( π = 3.14 )

Given the data in the question;

Radius of the hemisphere r = 4.9ftVolume of the hemisphere V = ?

To determine the volume of the hemisphere, we substitute our values into the expression above.

V = (2/3)πr³

V = (2/3) × π × (4.9ft)³

V = (2/3) × π × 117.649ft³

V = 246.4ft³

Therefore, the volume of the hemisphere with the given value of radius to the nearest tenth is 246.4 cubic foot.

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Related Questions

Pat bounces a basketball 25 times in 30 seconds.At that rate, approximately how many times a will Pat bounce the ball in 150 seconds?

A. 120

B.125

C.144

D.145

Answers

Answer:

b........... ........

Answer:

B.125

Step-by-step explanation:

25:30->?:150

150/30=5

25:30x5=125:150

Evaluate the following: 21 - 8- (-5)(7)| - 54

Answers

Answer:

21−8−(−5)(7)−54

=−6

Step-by-step explanation:

21−8−(−5)(7)−54

=13−(−5)(7)−54

=13−(−35)−54

=48−54

=−6

Find the area. (Include units in your response)

Answers

Answer:

=14x+21m

Step-by-step explanation:

7*(2x+3)

use distributive property:

14x+21

cant go any further ‘cause we don’t have an x value or = sign at the end

Find the surface area of the following cylinder. Round your answers to the nearest tenth.

Answers

Answer: 628

Step-by-step explanation:

2πr^2+2πrh

2(3.14)(5)^2+2(3.14)(5)(15)

2(3.14)(25)+2(3.14)(75)

2(78.5)+2(235.5)

157+471

628

The tower is 10.00 m tall, and the angle of depression from the top of the tower to the point on the ground is 22°.

Answers

Complete question :

The tower is 10.00 m tall, and the angle of depression from the top of the tower to the point on the ground is 22°How far is the point from the base of the tower.

Answer:

4.04 meters

Step-by-step explanation:

To obtain the distance between baso of tower and point P on the ground as shown in the solution diagram :

Using trigonometry :

Tan θ = Opposite / Adjacent

Tan 22° = x / 10

0.4040262 = x / 10

0.4040262 * 10 = x

x = 4.04

Hence, distance between base of tower and point P on the ground is 4.04 meters

A circle has a radius of 8 centimeters. The measure of the arc of the
shaded region is 72º. Which is closest to the area of the shaded section

Answers

Answer:

92

Step-by-step explanation:

You find a piece of wood that is 10.23 cm long and your friend finds on ethat is 17.65 cm long how long would they be if you attached them?

Answers

Answer:
27.88

Explanation:
10.23 + 17.65 = 27.88

Hope this helps!!

By adding the lengths of the two pieces of wood (10.23 cm and 17.65 cm), they would be 27.88 cm long when attached.

Addition is the process of adding two or more numbers together. The numbers being added are known as addends, while the outcome of the addition process, or the final response, is known as the sum.

Given that,

The length of your wood = 10.23

The length of your friend's wood = 17.65

Denote the length of your piece of wood as "x" and the length of your friend's piece as "y".

In this case,

x = 10.23 cm

y = 17.65 cm.

To find the total length when they are attached,

Add the lengths as

x + y = 10.23 cm + 17.65 cm

Now, calculate the sum:

x + y = 27.88 cm

Hence,

If you attach the two pieces of wood, the total length would be 27.88 cm.

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A cylinder has a height of 5 cm. What is the lateral and surface area of cylinder, if the circumference of one circle is 18.84 cm?

Answers

Answer:

Lateral Surface Area = 94.25 cm²

Surface area = 150.8 cm²

Step-by-step explanation:

A cylinder has a height of 5 cm. What is the lateral and surface area of cylinder, if the circumference of one circle is 18.84 cm?

Step 1

We have to find the radius of the cylinder

We are told in the question that:

The circumference of one circle is 18.84 cm

Circumference of a circle = 2πr

18.84cm = 2πr

r = 18.84/2π

r = 2.9984791279cm

Approximately the radius = 3cm

Step 2

We find the Lateral Surface Area of the Cylinder

The formula =2πrh

r = 3cm

h = 5cm

=2×π × 3 × 5

= 94.24778 cm²

Approximately = 94.25 cm²

Step 3

We find the Surface Area of the Cylinder

The formula =2πr(r + h)

r = 3cm

h = 5cm

=2×π × 3 × 5(3 + 5)

= 150.79645 cm²

Approximately = 150.80 cm²

What is the measure of angle Y?

Answers

Answer:

what's the question

Step-by-step explanation:

is there a photo you can post we need more info

So sad but so true do you think so ???

Answers

yeah, it is very unfortunate, we should do more to help our planet. however, brainly isn’t really a place for this lol

the ratio of dog to cats in the shelter was 4 to 6 if there were 12 cats how many dogs would there be

Answers

Answer:

8 dogs

Step-by-step explanation:

If there were 6 cats, there would be 4 dogs. Since there is double that amount of cats, then we just double the amount of dogs from 4 to 8, our final answer.

I would appreciate Brainliest but no worries.

Neal purchases a digital camera for his
family to use on their vacatlart. The model he
purchases is on sale for $129. The sales tax
rate for his city iş 7.5%.
How much sales tax does Neal pay on the
digital camera?

Answers

Answer:

101.91

Step-by-step explanation:

What is the length of EF in the right triangle below?

Answers

your question does not give enough information for me to answer

Type the correct answer in each box. Use numerals instead of words.
Consider the quadratic equation x² + 10x + 27 = 0.

Completing the square leads to the equivalent equation (x + ___)² = ___.
.

Answers

Answer:

(x + 5)² = 2 ==> x² + 10x + 27 = 0

Completing the square of the given quadratic equation leads to the equivalent equation (x + 5)² = -2.

What are Quadratic Equations?

Quadratic equations are polynomial equations of second degree.

The general form of a quadratic equation is ax² + b x + c = 0.

Given quadratic equation is,

x² + 10x + 27 = 0

We have the algebraic identity that,

(a + b)² = a² + 2ab + b²

The given quadratic equation is in the form of a² + 2ab + b², where a = x.

So, 2xb = 10x

⇒ b = 5

Now, b² = 25.

So, the given can be written as,

(x² + 10x + 25) + 2 = 0

(x + 5)² = -2

Hence the equivalent form is (x + 5)² = -2.

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Can someone please help me ⚠️

Answers

G = - h/3 + 11/3
H = 11 - 3g
I hope this helps

What's the perimeter?

Answers

Answer:

the line crossing the trapezoid, the one that helps you find the S. In this case the perimeter is 4 (;

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

perimenopause is inside just count the inside of the trapezoid

hope this helps

y=3x+4 and 2x-3y=-26 solve for x and y

Answers

Step-by-step explanation:

2x - 3(3x+4) = 26

2x -9x -12 = 26

-7x = 38

x = -38/7

y = 3(38/7) +28/7

y = 142/7

Solve forj j - 263 = 243 ​

Answers

J = 506

J needs to be isolated so add 263 to both sides. -263 is cancelled out and 263 + 243 is 506.
Hence the answer of 506

Answer:

The value of j is 506

Step-by-step explanation:

j - 263 = 243

j = 243 + 263

j = 506

Thus, The value of j is 506

-TheUnknownScientist

Sonia walks to her aunt's house. She leaves home at 1025. She walks a total of 12km at an average speed of 5km/h. Work out the time Sonia arrives at her aunt's house.

Answers

Answer: 1249 hrs

Step-by-step explanation:

Sophia walked for 12 km to get to her aunt's house.

She did this at a speed of 5km/h which means that the time taken was:

Time = Distance / Speed

= 12 / 5

= 2.4 hours

2.4 in hours:

= 0.4 * 60 minutes

= 24 minutes

= 2 hours 24 minutes

If she left at 1025, she would arrive at:

= 1025 + 2 hours 24

= 1249 hrs

Expand and simplify
5 (p+6) - 2 (3p+4)
and
7 (k-2) - 3 (2k-5)
Find the nth term for each sequence
5,9,13,17,21

1,8,15,22,29

10,6,2,-2,-6

Please help​

Answers

Answer:

A) -p + 38

B) k + 1

C) a_n = 4n + 1

D) a_n = 7n - 6

E) a_n = 14 - 4n

Step-by-step explanation:

A) 5(p + 6) - 2(3p + 4)

Multiply out the bracket to get;

5p + 30 - 6p + 8

>> -p + 38

B) 7(k - 2) - 3(2k - 5)

Multiply out the bracket to get;

>> 7k - 14 - 6k + 15

>> k + 1

C) Sequence is;

5, 9, 13, 17, 21

This is clearly an AP(arithmetic progression) because the difference between each term is 4.

Formula for nth term of an AP is;

a + (n - 1)d

Where d is difference and a is first term

Thus;

a_n = 5 + (n - 1)4

a_n = 5 + 4n - 4

a_n = 4n + 1

D) Sequence is 1, 8, 15, 22, 29.

This is also an AP.

Difference is 7.

Thus,nth term is;

a_n = 1 + (n - 1)7

a_n = 1 + 7n - 7

a_n = 7n - 6

E) 10, 6, 2, -2, -6

This is also an AP.

Difference is -4

Thus,

a_n = 10 + (n - 1)(-4)

a_n = 10 - 4n + 4

a_n = 14 - 4n

90,85,80,70,90,65
mean_
median_
mode_
range_

Answers

Mean= 80

Median= 82.5

Mode= 90

Range= 25

don’t mind the second one l o l

Answers

Answer:

I think a because i'm doing this stuff in math too

Step-by-step explanation:

I dont know the explanation

2/3 times 3/4 in simplest form

Answers

Answer:

1/2

Step-by-step explanation:

2/3 times 3/4 is 6/12, and 6/12 in simplest form is 1/2.

the scale of a model lighthouse is ½ inch = 4 feet. the real lighthouse is 75 feet tall, how tall wil the model lighthouse be ​

Answers

Answer:

9.375Inch

Step-by-step explanation:

First I did 75 divided By 4 to get how many 4 feet the light house is and then got 18.75 ft and then divided that by 2 and got 9.375inches

The height of a triangle is 6 m more than its base. The area of the triangle is 56 m². What is the length of the base?

Answers

Answer:

8

Step-by-step explanation:

x(x+6)/2=56

x^2(6x)=112

x^2(6x)-112=0

By trial and error, we can try base =1, height = 7, etc

base =8

height = 14

Which number is not a rational number?

A.


16

B.

1
.
6

C.
2

D.
π

Answers

Answer:

D, π

Step-by-step explanation:

It is because you cannot write π in the form of a/b

Which number line shows - 2/3 graphed?

Answers

Answer:

The third one

Steps:

hope this helps :b

PLEASE HELP ASAP!!!!!!! I DONT HAVE MUCH TIME! 15 POINTS❗️

Answers

Answer:

negative slope, y= -x+2

Step-by-step explanation:

Negative slope y=-x+2

Big brain is why

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

D

Step-by-step explanation:

Triangle XYZ has the following values:

m<X = 92 degrees

m<Y =42 degrees

what is the measure of angle Z?

Answers

Answer:

46 degrees

Step-by-step explanation:

Total angular measurement for a triangle = 180

180 - 92 - 42 = 46 degrees

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