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If the height of a cylinder is reduced by 2 cm, the surface area will be reduced by 50.24 square cm. If the height of a cylinder is 5 cm, what is its volume? Why
Radius of cylinder bottom: 2 * π * r * 2 = 50.24
r=4
Cylinder volume: π * 4 ^ 2 * 5 = 251.2
If the height of a 10 cm cylinder increases by 2 cm, the surface area increases by 50.24 square cm. What is the original surface area and volume of the cylinder?
Bottom radius 50.24 ÷ 2 ÷ (2x3.14) = 4cm
Surface area
4x4x3.14x2+2x4x3.14x10
=50.24+251.2
=301.44 square centimeter
volume
4x4x3.14x10 = 502.4cm
If other problems are added,
The height of a cylinder is 10 cm. If the height is reduced by 3 cm, the surface area will be reduced by 94.2 square cm?
The reduced surface area = 3cm * circumference = 94.2, i.e. circumference = 31.4cm; circumference = 2 π r = 31.4cm, i.e. r = 5cm; original cylinder volume = bottom area * height = π R * 10cm = 3.14 * 25 * 10 = 785cm
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