Volume Solution1





In this page volume solution1 we are going to see solution of each questions of the worksheet volume worksheet1.

Question 1:

Find the volume of a solid cylinder whose radius is 14 cm and height is 30 cm.

Solution:

We need to find the volume of the solid cylinder.

Radius of the cylinder = 14 cm

Height of the cylinder = 30 cm

Volume of the right circular cylinder =  Π r² h

                                                   = (22/7) x (14)² x (30)

                                                   = (22/7) x (14) x (14) x (30)

                                                   = (22) x (2) x (14) x (30)

                                                   = 18480 cubic.cm

Volume of the cylinder = 18480 cubic.cm


Question 2:

A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm,then find the quantity of soup to be prepared daily in the hospital to serve 250 patients?

Solution:

We need to find the volume of the solid cylinder.

Radius of the cylinder = (7/2) cm

Height of the cylinder = 4 cm

To find quantity of soup in one bowl we have to find the quantity of each bowl.

Volume of the right circular cylinder =  Π r² h

                                                   = (22/7) x (7/2)² x (4)

                                                   = (22/7) x (7/2) x (7/2) x (4)

                                                   = (22) x (7)

Volume of soup in one cylindrical bowl = 154 cm³

Volume of soup in 250 cylindrical bowl = 250 x 154

                                                   = 38500 cm³ 

1000 cm³ = 1 L

Therefore required quantity of soup = 38500/1000

                                                = 38.5 L

Required quantity of soup for 25 patients = 38.5 L


Question 3:

The sum of the base radius and the height of a solid cylinder is 37 cm. If the total surface area of the cylinder is 1628 sq.cm, then find the volume of the cylinder.

Solution:

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

Sum of radius and height = 37

                           r + h = 37 cm

Total surface area of cylinder = 1628 sq.cm

                       2 Π r (h + r) = 1628

                        2 Π r (37) = 1628

                        2 Π r  = 1628/37

                        2 Π r  = 44

            2 x (22/7) x r = 44

                             r = 44 x (1/2) x (7/22)

                             r = 7

                    7 + h = 37

                          h = 37 - 7

                          h = 30 cm

Volume of the right circular cylinder =  Π r² h

                                                   = (22/7) x (7 x (30)

                                                   = (22/7) x (7) x (7) x (30)

                                                   = (22) x (7) x (30)

                                                   = 4620 cm³

Volume of cylinder = 4620 cm³

volume solution1 volume solution1