Question

If the total surface area of a cylinder of radius 7cm is 880 cm square. Find the height and volume of the cylinder

Answer 1

TSA of cylinder = 2*22/7*r (r+h)
                  880 = 2*22/7*7(7+h)
                    20 = 7+h
                     h  = 13 cm

vol. of cylinder = 22/7*7*7*13
                        = 22*7*13
                        = 2002 cm^3  

Answer 2

$Given : - \\ T.S.A = 880 {cm}^{2} \\ radius = 7cm \\ \\ T.S.A = 880 \\ = > 2\pi \: r(r + h) = 880 \\ \\ = > 2 \times \frac{22}{7} \times 7(7 + h) = 880 \\ \\ = > 44(7 + h) = 880 \\ \\ = > (7 + h) = \frac{880}{44} \\ \\ = > 7 + h = 20 \\ \\ = > h = 20 - 7 \\ \\ = > h = 13 \\ \\ height = 13cm \\ \\ \\ Volume = \pi {r}^{2} h \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{22}{7} \times 7 \times 7 \times 13 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2002 \\ \\ Volume =2002 {cm}^{3} \\ \\ \\ Hope \: \: it \: \: helps.$