Question

A metallic cone of diameter 32 cm and height 9 cm is melted and made into identical spheres each of radius 2 cm. How many such spheres can be made

Answer 1

Answer:

24 spheres

Step-by-step explanation:

diameter of the cone = 32 cm

radius of the cone (r) = 16 cm

height of the cone (h) = 9 cm

so, volume of the cone = $\frac{1}{3} \pi r^{2} h$

thus, volume of the cone = 804.57 $cm^{3}$

radius of the sphere (R) = 2 cm

so, volume of the sphere = $\frac{4}{3} \pi R^{3}$

thus, volume of the sphere = 33.52 $cm^{3}$

now, no. of spheres = $\frac{volume of cone}{volume of each sphere}$

therefore no. of spheres = $\frac{804.57}{33.52}$ = approx. 24 spheres

Answer 2

Answer:

72

Step-by-step explanation:

hope my answer is useful to you