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

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 class=

Respuesta :

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
jbmow
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