Combination of Solids Solution4





In this page combination of solids solution4 we are going to see solution some practice questions of the worksheet combination of solid worksheet1.

Question 4:

A tent is in the shape of right circular cylinder surmounted by a cone. The total height and diameter of the base are 13.5 m and 28 m. If the height of the cylindrical portion is 3 m, find the total surface area of the tent.

Solution:

The total height of the tent = 13.5 m

The diameter of the base of the tent = 28 m

radius of the tent = 14 m

Height of cylindrical portion = 3 m

From these details we have to find total surface area of the tent for that we have to find the sum of curved surface area of cylinder and curved surface are of cone.

Total height of the tent = 13.5 m

height of cylinder + height of cone = 13.5

 3 + h = 13.5

       h = 13.5 - 3

       h = 10.5 m

height of cylindrical portion is 10.5 m

L² = r² + h²

    = 14² + 10.5²  

    = 196 + 110.25

 L =306.25

 L =  17.5

Total surface area of tent = C.S.A of cylinder + C.S.A area of cone

                                    = 2 Π r h + Π r L

                                    =  Π r [2 h + L]

                                    = (22/7) x 14 [2(3) + 17.5]                

                                    = 22 2 [ 6 + 17.5 ]

                                    = 44 [23.5]

                                    = 1034 cm³

combination of solids solution4 combination of solids solution4