Combination of Solids Solution3





In this page combination of solids solution3 we are going to see solution some practice questions of the worksheet combination of solid worksheet1.

Question 3:

A capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. If the length of the entire capsule is 14 mm and diameter of the capsule is 5 mm, find its surface area.

Solution:

diameter of the hemisphere = 5 mm

radius of hemisphere (r) = 5/2 = 2.5 mm

total height of the solid = 14 mm

2(radius of hemisphere) + height of cylinder = 14

                  2 (5/2) + h = 14

                     5 + h = 14

                           h = 14 - 5

                           h = 9 mm

Now we have to find total surface area of capsule. For that we have to find the sum of surface areas of two hemispheres and one cylinder.

Total surface area of capsule = 2(C.S.A of hemisphere) + C.S.A of cylinder

                                          = 2 (2 Π r²) +  2 Π r h

                                           =  2 Π r [2 r + h]

                                           = 2 x (22/7) x (2.5) [2(2.5) + 9] 

                                           = (22/7) x 5 x [5 + 9]

                                           = (110/7)  [14]

                                           = (110)  [2]

                                           = 220 mm²

Total surface area of capsule = 220 mm² 

combination of solids solution3 combination of solids solution3