cone:
area = πrs
volume = 1/3 πr^2h = π/3 r^2√(s^2-r^2)
hemisphere:
area = 2πr^2
volume = 2/3 πr^3
So, plug in your numbers and you will get the desired answers. If not, come back with your work and we can see where you went wrong.
What is the surface area and volume of a composite figure made up of a hemisphere and a cone in terms of pi? The radius is 10, and the slant height is 15.
Ans: surface area: 350 pi units^2
volume: 1039.4 pi units^3
2 answers
Cone surface area: π(10)(15)
= 150π
Hemisphere surface area: 2π(10)^2
= 200π
350π is the surface area
Cone volume: 1/3π(10)^2(11.2)
= 373.3π
I got the height by using the pythagorean theorem.
Hemisphere volume - 2/3π(10)^3
= 666.7π
= 1040π for the volume
= 150π
Hemisphere surface area: 2π(10)^2
= 200π
350π is the surface area
Cone volume: 1/3π(10)^2(11.2)
= 373.3π
I got the height by using the pythagorean theorem.
Hemisphere volume - 2/3π(10)^3
= 666.7π
= 1040π for the volume
1 answer