Question

The pineapple below has a lateral area of 64π. If the pineapple’s height is 8 inches, find the radius.

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Answer 1

Given:

The pineapple below has a lateral area of 64π. The pineapple’s height is 8 inches.

To find:

Find the radius.

Solution:

From given, we have,

The pineapple below has a lateral area of 64π. The pineapple’s height is 8 inches.

Pineapple has a shape similar to that of the cylinder.

So, the lateral area of cylindrical shaped pineapple is,

A = 2πrh

64π = 2 × π × r × 8

64 = 16 × r

r = 64/16

∴ r = 4 inches

Therefore, the radius of pineapple is 4 inches.