423,963 views
22 votes
22 votes
A cone has a volume of 942 in.³ and a height of 9 inches what is the radius of the cone use 3.14 for pie

User Andrew Matiuk
by
2.7k points

1 Answer

7 votes
7 votes

Answer:

r = 51.96 inches

Explanation:


V_(cone) = \pi {r}^(2) h \\ \\ \implies \: r^(2) = (V_(cone))/(\pi h ) \\ \\ \implies \: r^(2) = \frac{942}{3.14 {(9) } }\\ \\ \implies \: r^(2) = \frac{942}{3.14 {(9) } } \\ \\ \implies \: r^(2) =2700 \\ \\ \implies \: r= √(2700) \\ \\ \implies \: r=51.96 \: inches

User Cepriego
by
3.4k points