The answer would be C. 160 cm^3
The Volume of a cone is given by
V=(1/3)*pi*r^2*h
We know V= 540 cm^3 and that radius (r) =15 cm and can substitute into the equation to find h, which is the height of the cone.
I am going to leave the units off, but you should include it in your work.
540=(1/3)*pi*(15)^2*h
Solving for the height gives out
h=2.292 cm
According to your question. Now a similar cone will have the same ratio
h1/r1 = h2/r2
(2.292 / 15) = (h2 / 10) and solve for h2.
h2 = 1.528 cm
Substitute this into the Volume of a cone equation.
V=(1/3)*pi*r^2*h
V=(1/3)*pi*(10)^2*(1.528) = 160 cm^3
Therefore your answer is C.
