Question -
Answer -
Let the number ofcones made be n
Given,
Radius of metallicsphere = 5.6 cm
Radius of the cone =2.8 cm
Height of the cone =3.2 cm
We know that,
Volume of a sphere =4/3 π × r3
So, V1 =4/3 π × 5.63
And,
Volume of cone = 1/3 π× r2 × h
V2 =1/3 π × 2.82 × 3.2
Thus, the number ofcones (n) = Volume of the sphere/ Volume of the cone
n = 4/3 π × 5.63 /(1/3 π × 2.82 × 3.2)
n = (4 x 5.63)/(2.82 × 3.2)
n = 28
Therefore, 28 suchcones can be formed.