Calculate the total surface area of a cone of height 12cm and base radius 5cm. [Take \pi = 22/7]
A
180\(\frac{5}{7}\)cm\(^2\)
B
240\(\frac{2}{7}\)cm\(^2\)
C
235\(\frac{5}{7}\)cm\(^2\)
D
282\(\frac{6}{7}\)cm\(^2\)
E
361\(\frac{3}{7}\)cm\(^2\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\pirl + \pir2 = \pir(l + r)
\(\frac{22}{7}\) x 5(13 + 5)
282\(\frac{6}{7}\)cm\(^2\)
Source: Myschool Past Questions Archive (Record #23201)