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DIA [1.3K]
3 years ago
10

a semicircle has a diameter of 18 centimeters. what is its area? (use 3.14 for pi)a 1017.36 cm 2b 56.52 cm 2c 127.17cm 2d 113.04

cm 2
Mathematics
1 answer:
IgorC [24]3 years ago
8 0
Area of semicircle = 1/2 x pi x r^2; where r = d/2 = 18/2 = 9cm.
Area of semicircle = 1/2 x 3.14 x (9)^2 = 1/2 x 3.14 x 81 = 127.17 cm^2
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Option C: The radius of the sphere is half the height of the cylinder.

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Solution:

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Let r be the radius of the sphere.

Option A: The height of the cylinder is equal to the diameter of the sphere.

The sphere is fully occupied the cylinder.

If we draw the vertical line through enter of the sphere, which is equal to the height of cylinder.That is h = d. It is true.

Option B: The height of the cylinder is two times the diameter of the sphere.

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Option C: The radius of the sphere is half the height of the cylinder.

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Option D: The diameter of the sphere is equal to the radius of the cylinder.

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Option E: The volume of the sphere is two-thirds the volume of the cylinder.

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