Question

A cylinder has a height of 6 in. and a radius of 8 in.

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:

h = 6

r = 8 ==> area = πr² = 3.14*8² = 3.14 *64 =201.0

top & bottom = 2*200.96 = 401.9

r=8 ==> perimeter = 2πr = 2*3.14 *8 = 16* 3.14 =50.2

lateral area = h*perimeter = 6*50.24 = 301.44

so it's about 100 sq inch less