πr√(r^2+h^2) = 2160π
(12x)√(144x^2+256x^2) = 2160
(12x)(20x) = 2160
x^2 = 9
x = 3
so, the volume is
π/3 r^2h
= (π/3) (24*3)^2 (16*3)
= 82944π
V = 82944 cm^3
The diameter of the base of the cone is 24x cm.
The height of the cone is 16x cm.
The curved surface area of the cone is 2160pi cm^2.
The volume of the cone is V pi cm^3, where V is an integer.
What is the value of V. Answer is cm^2.
Thanks a lot.
2 answers
Steve's answer is incorrect.
In the final stage, he said (24*3)^2.
However, 24 is not the RADIUS of the cone's base. It is the DIAMETER.
Therefore, you must halve 24.
The final calculation should hence be:
V = (π/3) (12*3)^2 (16*3)
= 20736
In the final stage, he said (24*3)^2.
However, 24 is not the RADIUS of the cone's base. It is the DIAMETER.
Therefore, you must halve 24.
The final calculation should hence be:
V = (π/3) (12*3)^2 (16*3)
= 20736