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neonofarm [45]
3 years ago
14

The volume of a right circular cone is 2,279.64 in cubed. If the height of the cone is 18 in, what is the diameter of the cone?

(Use pi = 3.14)
A. 22 in
B. 60.5 in
C. 11 in
D. 121 in
Mathematics
1 answer:
Aleksandr [31]3 years ago
5 0

ANSWER

A. 22 in

EXPLANATION

The volume of a cone is calculated using the formula:

Volume =  \frac{1}{3}  \times \pi {r}^{2} h

It was given that: the volume is 2,279.64 in³

The height of the cylinder is also given as: h=18 in.

We substitute, the given values into the formula to get:

2279.64=  \frac{1}{3}  \times (3.14) \times {r}^{2}  \times 18

2279.64= 18.84 {r}^{2}

{r}^{2}  =  \frac{2279.64}{18.84}

{r}^{2}  = 121

We take positive square root to get;

r =  \sqrt{121}

r = 11in

Therefore the diameter is 2(11) which is equal to 22 inches.

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