Practice30 Create account

A cone and a cylinder have the same base radius and the same height. The volume of the cone is what fraction of the volume of the cylinder?

Class 9Volume of a ConeMensuration

A $\frac{1}{3}$
B $\frac{1}{2}$
C $\frac{2}{3}$
D $\frac{3}{1}$

Step-by-Step Solution

V(cone) =

\frac{1}{3}

π

r^{2}

h and V(cylinder) = π

r^{2}

h, so the cone is

\frac{1}{3}

of the cylinder.

Answer: A)

\frac{1}{3}

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Volume of a Cone practice questions

More Class 9 Volume of a Cone practice

If the radius of a cone is doubled while the height is kept the same, the volume becomes…A cone has slant height 5 cm and base radius 3 cm. Find its volume. (Use π = 3.14)A conical heap of wheat has radius 6 m and height 3.5 m. Find its volume. (Use π = 22/7)A cone has volume 462 cm^3 and height 9 cm. Find its base radius. (Use π = 22/7)Anita pours water from a cylindrical jug into conical glasses. The jug has radius 6 cm…