Question #3052f

2 Answers
Apr 20, 2017

Look at the Volume and Surface Area formulas.

Explanation:

You may do the same work beginning with V = 256.
Find r using the volume formula:
#V = (4/3)pir^3#
#256 = 4r^3#
#64 = r^3#
#4 = r#

Substitute into the Surface Area formula:
#SA = 4pir^2#
# = 12(4)^2#
= 12*16
= 192 square feet.

Apr 20, 2017

#192 ft^2#

Explanation:

Surface area of a sphere is #4 pi r^2# and
volume is #4/3 pi r^3#

Using #pi#=3 the volume would be #4r^3=256#.

This would give r=4 and thus surface area= #4pi r^2= 4(3)4^2=192ft^2#approx