first find r
V = (1/3) π r^2 h
r^2 = 3 V / (π h)
r^2 = (3*302) / (8 π)
r^2 = 36
so
302 = (1/3) π (36) h = 12 π h
solve for h
The volume of a right circular cone is determined by the following formula:
V = 1/3πr²h
If the volume of a certain cone is 302cm³ and the height is 8cm, determine the slant height of the cone.
A) 10cm
B) 36cm
C) 12cm
D)24cm
E) 6cm
3 answers
V = 1/3πr²h
302 = (1/3)π r^2 (8)
r^2 = 3*302/(8π) = ..
r = 6.004
if slant height is s, then
s^2 = 6^2 + 8^2 = 100
s = 10
302 = (1/3)π r^2 (8)
r^2 = 3*302/(8π) = ..
r = 6.004
if slant height is s, then
s^2 = 6^2 + 8^2 = 100
s = 10
Sorry, got distracted, finish it as mathelper did.
1 answer