Answer:
the radius of the sphere is 12 cm.
Step-by-step explanation:
IN A CONE
vertical height (h) = 27 cm
radius (r) = 32 / 2 = 16 cm
Now the volume of cone is
= 1/3 *h*π*r²
= 1/3 * 27 *π *16²
= 2304π cm³
Also by the question the cone and the sphere have equal volumes so
volume of sphere = volume of cone
= 2304 π cm³
OR, 4/3 πr³ = 2304 π
4/3 * r³ = 2304
r³ = 2304 * 3 / 4
r³ = 1728
r = ∛1728
r = 12 cm
hope it helps :)
