Question

the volume of a right circular cylinder is 448pi cm^2 and height 7 cm. find the lateral surface area and total surface area. full answer

Answer 1

Answer:

Volume of a right circular cylinder = 448$\pi cm^{3}$

Height = h = 7cm

Radius = r

$\pi r^{2} h = 448\pi$

$r^{2} (7) = 448$

$r^{2} = 64$

$r = \sqrt{64}$

r = 8cm

LSA of a cylinder = $2\pi rh$

$= 2 (\frac{22}{7} )(8)(7)$

$= 2 (22)(8)$

$= 352 cm^{2}$

TSA of a cylinder = $2\pi r (r + h)$

$= 2(\frac{22}{7} )(8)(8 + 7)$

$= 2(\frac{22}{7} )(8)(15)$

$= \frac{5280}{7}$

= 754.29 $cm^{2}$