Question

A can of beans has surface area 332 cm squared. Its height is 10 cm. What is the radius of the circular​ top? (Hint: The surface area consists of the circular top and bottom and a rectangle that represents the side cut open vertically and​ unrolled.)

Answer 1

Answer:

The radius of can is approximately 3.82 cm.

Step-by-step explanation:

We are given the following in the question:

Surface area of can = 332 square cm

Height of can = 10 cm

We have to find the radius of circular top.

Formula:

Surface area of can = Surface area of cylinder

$2\pi r(r + h) = 332\\2\pi r(r + 10) = 332\\\\r^2 + 10r = \dfrac{332}{2\pi}\\\\r^2 + 10r - 52.82 = 0\\\text{Using quadratic formula}\\\\r = \dfrac{-10\pm \sqrt{100 - 4(-52.82)}}{2}\\\\r = -13.82, 3.82$

Since, the radius cannot be negative.

The radius of can is approximately 3.82 cm.