Combination of Solids Solution2





In this page combination of solids solution2 we are going to see solution some practice questions of the worksheet combination of solid worksheet1.

Question 2:

A solid is in the shape of a cylinder surmounted on a hemisphere. If the diameter and the total height of the solid are 21 cm,25.5 cm respectively,then find its volume.

Solution:

Let r and h are radius and height of the cylinder.

diameter of the hemisphere = 21 cm

radius of hemisphere (r) = (21)/2 = 10.5 cm

Total height of the solid shape = 25.5 cm

radius of hemisphere + height of the cylinder = 25.5

                            10.5 + h = 25.5

                                    h = 25.5 - 10.5

                                    h = 15 cm

To find the volume of the solid shape we have to find the sum of volume of hemisphere and volume of cylinder.

Volume of solid toy = Volume of hemisphere + Volume of cylinder 

                            =  (2/3) Πr³ + Π r² h

                            =   Π r² [(2/3) r + h]

                            = (22/7) x (10.5)² [(2/3) 10.5 + 15] 

                            = 22/7 x (10.5) x (10.5) [2(3.5) + 15]

                            = 22 (1.5) x (10.5) [7 + 15]

                            = 33 x (10.5) [22]

                            = 99 [18.5]

                            = 7623 cm³

Volume of solid shape = 7623 cm³ 

combination of solids solution2 combination of solids solution2