Question

Question 4 of 5

Find the height of a cone with a diameter of 12 m whose volume is 340 m2
Use 3.14 for tr and round your answer to the nearest meter.
12 m
A. 28 m
O B.2 m
O C. 12 m
O D. 9m

Answer 1

h = 9 m

Explanation:

`V_(cone)=340\: m^3`

diameter (d) = 12 m

`\implies radius\:(r)= (12)/(2)=6\:m`

`\because \: V_(cone)= (1)/(3) \pi {r}^(2) h \\ \\ \implies \: h = \frac{3V_(cone)}{\pi {r}^(2) } \\ \\ \implies \: h = \frac{3(340)}{3.14 {(6)}^(2) } \\ \\ \implies \: h = (1020)/(113.04) \\ \\ \implies \: h = 9.02335456 \\ \\ \implies \: h \approx 9 \: m`