An ice-cream cone of radius r and height h ...

CBSE Class 10 Standard Math 2026 All Sets Solved Paper

Question : 2 of 20

Marks: +1, -0

An ice-cream cone of radius r and height h is completely filled by two spherical scoopes of ice-cream. If radius of each spherical scoop is

\frac{r}{2}

, then h: 2r equals

Solution:

Given:

Radius of cone is r.

Radius of scoop

R = \frac{r}{2}

According to the question:

Volume of cone = 2 × Volume of one scoop

\frac{1}{3} \pi r^2 h = 2 \times \left( \frac{4}{3} \pi \left( \frac{r}{2} \right)^3 \right)

r^2 h = 2 \times 4 \times \frac{r^3}{8}

r^2 h = 8 \times \frac{r^3}{8}

r^2 h = r^3

h = r

The ratio h : 2r

\frac{h}{2r} = \frac{r}{2r} = \frac{1}{2}

Go to Question:

Prev Question

Next Question