Question

Find the surface area of the figure below. Leave answer in terms of π.

A. 1060π in2
B. 1160π in2
C. 1260π in2
D. 1000π in2

Answer 1

The answer is D, 1000pi
Use SA=2πrh+2πr^2.
Plug in the numbers A=2π*10*40+2*π*10^2.
and you get 3141.59.
divide by Pi and you get 1000

Answer 2

Cylinder:
2Pi *r*h + Pi*r^2 = 2Pi*10*40 + 10^2 *Pi
= 800Pi + 100Pi = 900Pi
Cone:
Height = SQRT(26^2 - 10^2) = 24
=2Pi*r*h/3 = 160Pi
Total Surface Area is 1060Pi