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)
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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