What is the volume of a hemisphere with a diameter of 7.6 m, rounded to the nearest tenth of a cubic meter?

Answer 1

Hello Kylie,

First, let's notice that we're dealing with a hemisphere, which is really HALF of a sphere.

Formula for volume of a sphere: V_S = (4/3) * π*r³ where r is the radius of the sphere

So the volume of a hemisphere will be HALF the volume of a sphere: V_H = (1/2) * (4/3) * π*r³

You're given the diameter of the sphere d = 7.6 m, so radius is HALF the diameter: r = (1/2) * 7.6 = 3.8 m

Plug it in formula for V_H: V_H = (1/2) * (4/3) * π * 3.8³ = 112.92364805 cubic meters

Round to nearest tenth ----> V_H = 112.9 cubic meters

Cheers.