Question

The volume of a right circular cylinder is 44817 cm cube and height is 7 cm. Find the lateral surface area and the total surface area

Answer 1

The lateral surface area of cylinder is 1985.13 cm²

The total surface area of cylinder is 14784.83 cm²

Step-by-step explanation:

Volume of cylinder, V = 44817 cm³

Height of cylinder, h = 7 cm

Let radius of cylinder be r cm

$V=\pi r^2h$

$\pi r^2\times 7=44817$

$r^2=\dfrac{44817}{7\pi}$

$r\approx 45\ cm$

• Lateral surface area of cylinder, $L=2\pi rh$

                                                     $L=2\pi\times 45\times 7$

                                                     $L=1985.13\ cm^2$

• Total surface area of cylinder, $L=2\pi rh+2\pi r^2$

                                                     $L=2\pi\times 45\times 7+2\pi 45^2$

                                                     $L=14784.83\ cm^2$

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