Question

What is the volume of a hemisphere with a radius of 3.1 in, rounded to the nearest tenth of a cubic inch?

Pls help me

Answer 1

The volume of a hemisphere with a radius of 3.1 inches is approximately 19.05 cubic inches.

Step-by-step explanation:

To find the volume of a hemisphere with a radius of 3.1 inches, we first need to calculate the volume of a full sphere and then divide it by 2 because a hemisphere is half a sphere.

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

`V = (2/3) * \pi * r^3`

Given that the radius is 3.1 inches, we can substitute it into the formula:

`V = (2/3) * \pi * (3.1)^3`

V ≈ 19.05 cubic inches (rounded to the nearest tenth)

Answer 2

The volume of a hemisphere with a radius of 3.1 inches is approximately 62.2 cubic inches when rounded to the nearest tenth.

Step-by-step explanation:

To find the volume of a hemisphere with a radius of 3.1 inches, we first need to calculate the volume of a full sphere and then divide it by 2 because a hemisphere is half a sphere. The formula for the volume of a sphere is V = (4/3)πr³. Thus, for a radius (r) of 3.1 inches, the volume (V) of the full sphere would be:

V = (4/3)π(3.1)³

After calculating this, we divide it by 2 to get the volume of the hemisphere:

Vhemisphere = ½ × (4/3)π(3.1)³

By plugging in the values and solving, we get the answer:

Vhemisphere = ½ × (4/3)π(3.1)³ ≈ 62.2 cubic inches (rounded to the nearest tenth)