Answer:
n = 23
Step-by-step explanation:
Given that,
The edge of the cube is 3 inches
The diameter of a solid cone is 1.5 inches
Height of the cone is 2 inches
We need to find the number of cones that can be made from the block of clay which is in the shape of a cube. Let there are n such cones. So,
[tex]n=\dfrac{\text{volume of cube}}{\text{volume of a cone}}\\\\n=\dfrac{l^3}{\dfrac{1}{3}\pi r^2 h}[/tex]
l is side of a cube
So,
[tex]n=\dfrac{(3)^3}{\dfrac{1}{3}\times \dfrac{22}{7}\times (\dfrac{1.5}{2})^2\times 2}\\\\n=22.9[/tex]
or
n = 23 approx
So, 23 cone can be made.