What is the volume of a hemisphere with a diameter of 51.8 inches rounded to the nearest 10th of a cubic inch?
1 answer:
Answer:
volume of a hemisphere ≈ 36369.5 in³
Step-by-step explanation:
To find the formula for calculating the volume of a hemisphere, we will follow the steps below:
write the formula for calculating the volume of a hemisphere.
volume of a hemisphere = volume of a sphere ÷2
= πr³ ÷ 2
= πr³
where r is the radius
from the question given, diameter = 51.8 inches
but diameter = 2r , this implies that r = hence r =
= 25.9 inches
π is a constant and is ≈ 3.14
we can now proceed to insert the values into the formula
volume of a hemisphere = πr³
= × 3.14 ×25.9³
= × 3.14×17373.979
≈36369.5 in³ to the nearest tenth cubic inch.
volume of a hemisphere ≈ 36369.5 in³
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Explanation:
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