A hemispherical cup of radius 4 cm is filled to the brim with coffee.…

Question

A hemispherical cup of radius 4 cm is filled to the brim with coffee. The coffee is then poured into a vertical cone of radius 8 cm and height 16 cm. The percentage of the volume of the cone that remains empty is:

Accepted Answer

Option A. 87.5%. Answer & Solution Answer: Option A Solution: & Volume of coffee = 2/3 r^3 & = 2/3 × 227 × ( 4 )^3 & = 1283 c m^3 & Volume of cone = 1/3 r^2 × h & = 1/3 ( 8 )^2 × 16 & = 10243 & Required percentage = 10243 - 1283 10243 × 100 & = 8961024 × 100 & = 87.5\%