The volume of a solid cylinder is 80,850 cm3 and its height is 21 cm. What is the total surface area of the solid cylinder? \(\left(\text{Use } \pi = \frac{22}{7}\right)\)
12,320 cm2
Volume of a cylinder = \(\pi r^2 h\).
\(\frac{22}{7} \times r^2 \times 21 = 80850\), so \(66 r^2 = 80850\) and \(r^2 = 1225\), giving r = 35 cm.
Total surface area of a solid cylinder = \(2\pi r(r + h)\).
TSA = \(2 \times \frac{22}{7} \times 35 \times (35 + 21) = 220 \times 56 = 12320\) cm2.
Hence, 12,320 cm2.
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