Question

4. The curved surface area of a cylinder is
8800 cm2. If the radius of a cylinder is 28 cm,
find its volume.​ ​

Answer 1

Answer:

radius=28cm

Curved surface area of cylinder=8800sq.cm

$curved \: surface \: area \: of \: cylinder = 2\pi \: r \: h \\ = > 8800 {cm}^{2} = 2 \times \frac{22}{7} \times \: 28 cm\times h \\ = > 8800 {cm}^{2} = 2 \times 22 \times 4cm \times h \\ = > \frac{8800 {cm}^{2} }{2 \times 22 \times 4cm} = h \\ = > \frac{4400}{2 \times \times 11 \times 4cm} = h \\ = > \frac{1100cm}{2 \times 11} = h \\ = > \frac{100}{2} cm = h = > 50cm = h$

volume of cylinder=

$\pi \: r {}^{2} h \\ = \frac{22}{7} \times 28cm \times 28cm \times 50cm \\ = 22 \times 4 \times 28 \times 50 {cm}^{3} \\ = 88 \times 28 \times 50 {cm}^{3} \\ = 2464 \times 50 {cm}^{3 } \\ = 123200 {cm}^{3}$