Question

The sum of radius and height of a cylinder is 27 cm. If the total surface area of the cylinder is 1188 cm³,find the radious of the base​

Answer 1

7 cm

Explanation:

You want the radius of a cylinder with a total surface area of 1188 cm² and a radius plus height of 27 cm.

Surface area

The total surface area of a cylinder is ...

A = 2πr(r +h)

Filling in the given values, we get ...

1188 cm² = 2πr(27 cm)

r = 1188/(54π) cm = 7.00 cm

The radius of the base is 7 cm.