Question

The volume of a cylinder is 1540 cm3.if it is 10 cm. long.find its curved surface area and total surface area​

Answer 1

this is the answer you require

Answer 2

The curved surface area of cylinder is 440 sq.cm. and total surface area of cylinder is 748 sq.cm.

Step-by-step explanation:

Volume of cylinder = $\pi r^2 h = \frac{22}{7} \times r^2 \times 10$

We are given that The volume of a cylinder is 1540 cubic m

$\frac{22}{7} \times r^2 \times 10= 1540$

$r=\sqrt{\frac{1540 \times 7}{22 \times 10}}$

r=7

Curved surface area of cylinder = $2 \pi r h = 2 \times \frac{22}{7} \times 7 \times 10 =440 cm^2$

Total surface area of cylinder = $2\pi r h + 2\pi r^2 = 2 \times \frac{22}{7} \times 7 \times 10 + 2 \times \frac{22}{7} \times 7^2 =748 sq.cm.$

Hence The curved surface area of cylinder is 440 sq.cm. and total surface area of cylinder is 748 sq.cm.

#learn more:

The volume of a cylinder of height 8 cm is 1232 cm3  cube find the curved surface area and total surface area of cylinder

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