Question

The can of corn shown is a right circular cylinder with a height of 11 cm. The volume of the can is 486 cubic centimeters. What is the approximate radius of the can of corn in centimeters? Use 3.14 for π.A. 1.3B. 3.8C. 7.0D. 14.1

Answer 1

SOLUTION

Since the can is a cylinder, we will use the formula for volume of a cylinder to solve the problem.

Volume of a cylinder is given as

$\begin{gathered} V=\pi r^2h \\ where\text{ r = radius = ?} \\ h=height=11cm \\ V=volume=486cm^3 \end{gathered}$

Applying we have

$\begin{gathered} V=\pi r^2h \\ 486=3.14\times r^2\times11 \\ 486=34.54r^2 \\ r^2=\frac{486}{34.54} \\ r=\sqrt{14.07064} \\ r=3.75108 \end{gathered}$

Hence the answer is 3.8, the second option is the answer