Question

A cylinder of base radius 4 cm and height 8 cm is melted and recast into the spheres of radius 1.5 cm each. How many such spheres can be made

Answer 1

Answer:

28 such spheres can be made .

Step-by-step explanation:

➡Radius of cylinder= 4 cm

➡Height = 8 cm

✔Volume of cylinder = πr^2 h

✔Volume of cylinder = π x 4^2 x 8 cm^3

✔Volume of cylinder = 128 π cm^3.

✔Now، radius of sphere = 1.5 cm

✔Volume of one sphere = 4/3 π r^3

✔Volume of one sphere = 4/3 π

(1.5)^3 cm^3.

✔Volume of one sphere = 4.5 π cm^3

No of spheres = vol. of cylinder / vol

of sphere

✔ No of spheres = 128 π / 4.5 π

✔No of spheres = 28 (approx)

Hence 28 spheres will be made.