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Question 7
1 pts
Find the volume of the hemisphere in which the diameter is 48 yds. Round the number
to the nearest tenth if necessary.

2 Answers

3 votes

To find the volume of a hemisphere, you can use the formula:

V = (2/3)πr³

where V is the volume and r is the radius of the hemisphere.

Given that the diameter is 48 yards, we can find the radius by dividing the diameter by 2:

r = 48 yards / 2 = 24 yards

Now we can substitute the value of the radius into the formula:

V = (2/3)π(24 yards)³

Calculating this expression:

V ≈ (2/3)π(13824 yards³)
V ≈ (2/3)π(13824) yards³
V ≈ (2/3)(3.14)(13824) yards³
V ≈ 28940.16 yards³

Rounding the volume to the nearest tenth, we get:

V ≈ 28940.2 yards³

Therefore, the volume of the hemisphere is approximately 28940.2 cubic yards
User Colin Bull
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8.0k points
2 votes
2,207.8 yd? Are there anwser choices
User Gnerkus
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8.2k points