Question

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

Answer 1

Explanation:

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

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Answer 2

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 <===