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emily10898Emily10898
emily10898Emily10898 emily10898Emily10898
  • 03-08-2016
  • Mathematics
Answered

The volume of a cone is 62.8 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the nearest inch? Use π = 3.14.

A 2 inches

B 4 inches

C 8 inches

D 9 inches

Verified Answer :

texaschic101
texaschic101 texaschic101
  • 03-08-2016

R = sqrt 3 (V /( pi h))
V = 62.8
pi = 3.14
h = 15
now we sub
R = sqrt 3 (62.8 / (3.14 15)
R = sqrt 3 (62.6 / 47.1)
R = sqrt 3
1.33
R = sqrt 3.99
R = 1.9 rounds to 2 inches <===

Answer Link
BasketballEinstein
BasketballEinstein BasketballEinstein
  • 16-09-2019

Step-by-step explanation:

\(\pi {r}^{2} \frac{h}{3} = V \\ \\ \pi {r}^{2} \frac{15}{3} = 62,8 \\ \\ \pi {r}^{2}(5) = 62,8 \\ \\ 5\pi {r}^{2} = 62,8 \\ \\ 3,99797217 ≈ \frac{62,8}{5\pi} \\ \\ 3,99797217 ≈ {r}^{2} \\ \\ 1,999492978 ≈ r \\ \\ 2 ≈ r\)

I am joyous to assist you anytime.

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