Question

$\text{A sphere of diameter 12.6 cm is melted and cast into a right circular cone of height 25.2 cm. The radius of the base of the cone is}\left(a\right)6.3cm\left(b\right)2.1cm\left(c\right)6cm\left(d\right)4cm$

Answer 1

ANSWER:
(a) 6.3cm
Let r cm be the radius of the base of the cone.
Volume of the sphere = volume of the cone
⇒4/3π×6.3^3=1/3π×r^2×25.2
⇒r^2=4×6.3×6.3×$\frac{6.3}{25.2}$=39.69
⇒r = 39.69= 6.3 cm