SOLUTION: Given the surface area of a sphere is 40 pi cm^2, find its volume. And given that the area of an equilateral triangle is 67 cm^2, find its perimeter.

Question 191520: Given the surface area of a sphere is 40 pi cm^2, find its volume.
And given that the area of an equilateral triangle is 67 cm^2, find its perimeter.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Given the surface area of a sphere is 40 pi cm^2, find its volume.
:
Two formulas: V = & SA =
:
= 40*pi
Divide both sides by 4pi
r^2 = 10
r =
Find the Volume
V =
V = 132.46 cu/cm
:
:
And given that the area of an equilateral triangle is 67 cm^2, find its perimeter.
;
Let x = the side of the triangle;
Find the height:
h =
h =
Find x using the area:
= 67
Multiply both sides by 2
= 134
= 134
= 134
=
x^2 = 154.73
x =
x = 12.44
:
P = 3(12.44)
P = 37.3 cm

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