A tent is a cylinder of radius 4.2 m and height 5 m with a conical top of the same radius. The volume of air inside is 341.88 cubic metres. Find the height of the conical top, in metres. (Take π = 22/7.)

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Accepted Answer

3.5. Base area \π r^2 = 22/7(17.64) = 55.44 m², so the cylinder holds 55.44 × 5 = 277.2 m³. The cone therefore holds 341.88 − 277.2 = 64.68 m³. Since cone = 1/3(55.44)h = 18.48h , h = 64.68 ÷ 18.48 = 3.5 m. 18.5 divides the whole 341.88 by 18.48 without first removing the cylinder; 1.17 uses \π r^2 h and drops the 1/3 ; 1.75 halves the correct height.

A tent is a cylinder of radius 4.2 m and height 5 m with a conical top of the same radius. The volume of air inside is 341.88 cubic metres. Find the height of the conical top, in metres. (Take π = 22/7.)

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