SOLUTION: A cone and a hemisphere of equal surface area each
have a 3-inch radius. What is the height Of the
cone?
Algebra.Com
Question 1180609: A cone and a hemisphere of equal surface area each
have a 3-inch radius. What is the height Of the
cone?
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
and a hemisphere of equal surface area each have a 3-inch radius. what is the height of the cone?
SA = pi*r^2 + pi*rl
Where,
r is the radius
h is the height
l is the slant height
given:
...........eq.1
surface area of a hemisphere SA = 3pi*r^2
given:
..........eq.2
from eq.1 and eq.2 we have
...divide by
-> slant height
the height of the cone will be
the height of the cone is
RELATED QUESTIONS
This is my dilemma . . . A cone inscribed in a hemisphere, vertex of cone at center of... (answered by ikleyn,jim_thompson5910)
what is the surface area of a cone with a radius of 3 cm and a height of... (answered by ikleyn)
A pencil consisting of 3 parts - a cone, a cylinder and a hemisphere. Given the radius of (answered by josgarithmetic)
A cone has a radius of 12 inches and a surface area of 1050 square inches. What is the... (answered by fcabanski)
A cone is circumscribed by a hemisphere radius of which is equal to the height of the... (answered by jim_thompson5910,ikleyn)
A cone is circumscribed by a hemisphere radius of which is equal to the height of the... (answered by ankor@dixie-net.com,ikleyn)
A cone is circumscribed by a hemisphere radius which is equal to the height of the cone. (answered by ikleyn)
A right pyramid has a surface area of 210cm2.
A right cone has a base radius of 5cm.... (answered by ewatrrr)
A sphere and a cone have the same radius. The volume of the cone equals the surface area... (answered by ankor@dixie-net.com)