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What is the area of the base of the cone below? Round the answer to the nearest tenth if necessary.

What is the area of the base of the cone below? Round the answer to the nearest tenth-example-1
User Justicle
by
7.3k points

2 Answers

5 votes

Answer:

19.5

Explanation:

User Tkhm
by
7.9k points
0 votes

Answer:

Area of the base is 19.5 unit square.

Explanation:

The volume of the cone is given as = 52 cubic inches

Height or h = 8 inches

Volume of the cone is given as :
\pi r^(2) (h)/(3)


52=3.14* r^(2) *(8)/(3)


52= r^(2) * 8.37


r^(2) =6.212

r = 2.492 inches

Now, area of the base is given as
\pi r^(2) because it is a circle.

Area =
3.14*2.492*2.492

= 19.499 ≈ 19.5 unit square.

User Najma
by
7.4k points