Question

The material of a cone is converted into the shape of a cylinder of equal radius. If the height of the cylinder is $5$ cm, find the height of the cone.

• A. $10$ cm
• B. $15$ cm
• C. $18$ cm
• D. $24$ cm

Answer 1

The correct option is B $15$ cm

$V_{cyl}=\pi r_1^2{h}_a$ & $r_1=r_2$

$V_{cone}=\frac{\pi }{3}{r}_2^2{h}_2$

$V_{cyl}=V_{cone}\Rightarrow h_1=\frac{h_2}{3}\Rightarrow h_2=15$