What is the volume of a hemisphere with a diameter of 7.1 ft, rounded to the nearest tenth of a cubic foot?

Question

asked Aug 21, 2021 8.0k views

2 Answers

Bohica · Answer 1 · 2021-08-28T01:51:14+0000

Answer:

The volume of the hemisphere is: 93.7 cubic feet

Explanation:

Recall that the volume of a sphere of radius R is given by:

$Sphere's\,\,Volume=(4)/(3) \pi\,R^3$

therefore, the volume of a hemisphere would be half of such:

$Hemisphere's\,\,Volume=(2)/(3) \pi\,R^3$

Now,the radius of the hemisphere must be half of its diameter, that is:

7.1 ft /2 = 3.55 ft

Now, when we use this value in the hemisphere's volume formula, we get:

$Hemisphere's\,\,Volume=(2)/(3) \pi\,R^3\\Hemisphere's\,\,Volume=(2)/(3) \pi\,(3.55)^3\\Hemisphere's\,\,Volume=93.70088\,\,ft^3$

Which rounded to the nearest tenth gives: 93.7 cubic feet