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A cylinder with a height of 12 cm is inscribed in a sphere with a radius of 10 cm. Find the lateral area of the cylinder. Answer in terms of π.

Answer :

thaovtp1407

Answer:

256π

Step-by-step explanation:

Given that:

The height of the cylinder: 12 cm

The radius of the sphere : 10

Let r is the radius of the cylinder, use Pytagon

10² = r² + 6²

<=> r²  = 10² - 6²  = 64

<=> r = 8

Hence,  the lateral area of the cylinder

L= 2πrh

= 2π8*16

= 256π

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