Volume Solution4





In this page volume solution4 we are going to see solution of each questions of the worksheet volume worksheet1.

Question 9:

Radius and slant height of a cone are 20 cm and 29 cm respectively. Find its volume.

Solution:

Radius of the cone (r) = 20 cm

Slant height of the cone (L) = 29 cm

L² = r²+ h²

29² = 20² + h²

841 = 400 + h²

h² = 841 - 400

 h² = 441

 h = √21 x 21

 h = 21 cm

Volume of the cone = (1/3) Π r² h

                            = (1/3) x (22/7) x (20)² x 21

                            = (1/3) x (22) x (20) x (20) x 3

                            = (22) x (20) x (20)

                            = 8800 cm³ 

Volume of the cone = 8800 cm³ 


Question 10:

The circumference of the base of a 12 m high wooden solid cone is 44 m. Find the volume.

Solution:

Circumference of cone = 44 m

Height of the cone (h) = 12 m

                      2 Π r = 44

        2 x (22/7) x r = 44

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

                          r = 7 cm

Volume of the cone = (1/3) Π r² h

                            = (1/3) x (22/7) x (7)² x 12

                            = (1/3) x (22/7) x (7) x (7) x 12

                            = (22) x (7) x (4)

                            = 616 cm³ 

Volume of the cone = 616 cm³ 

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