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What is the volume of a hemisphere with a diameter of 52.9 inch, rounded to the nearest tenth of a cubic inch ?

User Likern
by
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2 Answers

3 votes

Final answer:

The volume of the hemisphere is 55495.5 cubic inches.

Step-by-step explanation:

To find the volume of a hemisphere, we can use the formula for the volume of a sphere and divide it by 2.

The volume of a sphere can be calculated using the formula:

V = (4/3)πr³

Given that the diameter of the hemisphere is 52.9 inches, we can find the radius by dividing the diameter by 2:

Radius = Diameter / 2 = 52.9 inches / 2 = 26.45 inches

Now we can calculate the volume of the hemisphere:

Volume = (4/3)π(26.45 inches)³ / 2

Using the value of π as approximately 3.14159, we can substitute the values into the formula:

Volume ≈ (4/3) × 3.14159 × (26.45 inches)³ / 2

Simplifying the calculation:

Volume ≈ 55495.5314 cubic inches

Rounding to the nearest tenth of a cubic inch, the volume of the hemisphere is approximately 55495.5 cubic inches.

User Marian Galik
by
8.4k points
5 votes

Answer:

38755.7

Step-by-step explanation:

User Scott Gardner
by
7.8k points

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