The cylinder is surrounded by a regular rectangular prism. The height of the prism is 5 cm and the length
| September 26, 2021 | education
The cylinder is surrounded by a regular rectangular prism. The height of the prism is 5 cm and the length of the base is 16 cm. Find the volume of the cylinder.
The radius of the circle at the base of the cylinder is equal to half the length of the side of the base of the prism described around it
CD = 2 * R.
R = ОА = СD / 2 = 16/2 = 8 cm.
The height of the cylinder is equal to the height of the described prism.
Determine the area of the base of the cylinder.
Sb = π * ОА ^ 2 = 64 * π cm2.
Determine the volume of the cylinder. V = Sbn * AB = 64 * π * 5 = 320 * π cm3.
Answer: The volume of the cylinder is 320 * π cm3.
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