Question

The radius and height of a solid right circular cylinder are 10 cm and
30 cm respectively. It is melted and solid cones are prepared. If the
diameter of base of the cone is 2 cm and its height is 10 cm. Find how
many such cones are prepared from the whole metal of cylinder.​

Answer 1

Answer:

900

Step-by-step explanation:

$cylinder \\ r = 10cm \\ h = 30cm \ \ cone \\ r = 1cm \\ h = 10cm \\ vol \: of \: n \: cones \: = vol \: of \: cylinder \\ \frac{1}{ 3} \pi {r}^{2} h = \pi {r}^{2} h \\ \frac{1}{3} \times 1 \times 10n = 10 \times 10 \times 30 \\ n = \frac{10 \times 10 \times 30 \times 3}{10} \\ n = 90 \times 10 \\ n = 900$