Math for College Technology (MCT4C) · Applications of Geometry

Volume and surface area of a composite tank

Find the volume or curved surface area of a composite cylinder-and-hemisphere tank. Unlimited questions, five difficulty levels, and a full worked solution every time, included free with weekly lessons.

Practice this skill Curriculum: MCT4C-GE1

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An engineering technologist is designing a cylindrical storage tank with a hemispherical dome on top, for a rural equipment yard. The cylindrical part has radius 3 m and height 6 m, topped with a hemispherical dome of the same radius. Find the total volume, to one decimal place.

V = π·r2·h + (23)·π·r3

Answer: 226.2

See one solved, step by step

An engineering technologist is designing a cylindrical storage tank with a hemispherical dome on top, for a rural equipment yard. The cylindrical part has radius 4 m and height 9 m, topped with a hemispherical dome of the same radius. Find the total volume, to one decimal place.

V = π·r2·h + (23)·π·r3
📘 Worked solution
1V = π·r2·h + (23)·π·r3Split the composite shape into a cylinder and a hemisphere, and add their volumes.
2V = π(4)2(9) + (23)π(4)3Substitute the radius and cylinder height.
3= 452.4 + 134Evaluate the cylinder volume and the hemisphere volume separately.
4= 586.4 m3Add them together for the total volume.

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