Review question

# What's the least surface area of this rocket-shaped solid? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R8548

## Question

A rocket-shaped solid consists of a right circular cylinder of length $l$ and radius $r$ attached at one end to the base of a right circular cone of base radius $r$ and height $\frac{3}{4}r$. If the total volume of the solid is to be $\quantity{14\pi}{cm^3}$, find its least possible surface area.