Question

48

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar and to indicate an exponent.
The formula for the volume of a cylinder is V=112h. The volume of a cylinder is three times the volume of a cone with the same radius and
height.
If the volume of a cone with the same height as a cylinder equals the volume of the cylinder, the equation for the radius of cone Rin terms of the
radius of cylinder ris

Answer 1

Vco = 1/3×πr2h

Vcy = Vco --> πr^2×h = 1/3πR^2×h

h's cancel, as well as π's

r^2 = 1/3R^2 --> R^2 = 3r^2 -->

SR (R^2) = SR (3r^2)

R = SR(3)×r

Explanation: