Question 68

The sum of the radius and height of a cylinder is 18 metre. The total surface area of the cylinder is 792 sq. metre, what is the volume of the cylinder ? (in cubic metre)

Solution

let the height and radius of cylinder be H mtr and R mtr

R + H = 18

total surface area of cylinder = 2$$\barwedge$$RH + 2$$\barwedge(R)^2$$ = 792

R(H + R) = $$\frac{792x7}{22x2}$$

R = 7 mtr

H = 18-7 = 11 mtr

volume = $$\frac{22}{7}(R)^2(H)$$

Volume = 1694 cubic mtr

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