Question

A cylinder measures 6 inches tall and has a base radius of 9 inches. How does the cylinder's lateral area compare to the sum of the areas of the two bases? Use π≈3.14. Enter your answer, rounded to the nearest tenth, in the box to correctly complete the statement. The lateral area of the cylinder is approximately square inches less than the sum of the areas of the two bases.

Answer 1

see below

Explanation:

6 inches tall so h=6

base radius of 9 inches so base area = π r² =81π,

top & bottom together is 162π =508.7

lateral area = h* the circumference of the base = 2π*r*h =2π*9*6=108π =339.1

so lateral area is 54π= 169.6 smaller than top & bottom bases.