A solid wooden cylinder has radius 5 cm and height 14 cm. A conical hole of the same radius and depth 6 cm is drilled into one flat end. Find the volume of wood remaining, in cubic centimetres. (Take π = 3.14.)

Question

Accepted Answer

942. Cylinder = \π r^2 h = (3.14)(25)(14) = 1099 cm³. Cone removed = 1/3\π r^2 h = 1/3(3.14)(25)(6) = 157 cm³. Wood left = 1099 − 157 = 942 cm³. 1256 adds the cone instead of subtracting it; 628 subtracts \π r^2 h = 471 because the 1/3 was dropped; 1099 ignores the cavity altogether.

A solid wooden cylinder has radius 5 cm and height 14 cm. A conical hole of the same radius and depth 6 cm is drilled into one flat end. Find the volume of wood remaining, in cubic centimetres. (Take π = 3.14.)

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