Combination of Solids Solution5





In this page combination of solids solution5 we are going to see solution some practice questions of the worksheet combination of solid worksheet1.

Question 5:

Using clay, a student made a right circular cone of height 48 cm and base radius 12 cm. Another student reshapes it in the form of a sphere. Find the radius of the sphere.

Solution:

Height of the right circular cone (h) = 48 cm

Radius of right circular cone (r) = 12 cm

Volume of right circular cone = volume of sphere

                         (1/3) Πr²h = (4/3) Π

                         (1/3) r²h = (4/3) r³

                (1/3) (12)²(48) = (4/3)

                (1/3) x 12 x 12 x(48) = (4/3)

                     r³ = (1/3) x 12 x 12 x (48) x (3/4)

                     r³ = 3 x 12 x (48) 

                     r = ∛ 3 x 3 x 4 x 4 x 4 x 3

                     r = x 4

                     r = 12 cm

Radius of sphere is 12 cm