Question

Find the height of a cylinder with radius 25 cm and surface area 8953.54 cm2. A. 32.00 cm B. 16.00 cm C. 31.00 cm D. 62.00 cm

Answer 1

Surface area of the circle \(=2 \pi rh +2(\pi r^2)\)
Put surface area=8953.54 and radius r = 25 into the formula

\(8953.54 =2 \pi (25)h +2\pi( 25^2)\)

\(8953.54- 2\pi( 25^2)=2 \pi (25)h\)

\(8953.54- 2\pi( 25^2)=2 \pi (25)h\)

\(5026.549=50 \pi h\)

\(h=5026.549 / (50 \pi) = ...?\)