Practice Set 16.3 8th Std Maths Answers Chapter 16 Surface Area and Volume
Solution & Step-by-Step Answer:
i. Given: r = 10.5 cm and h = 8 cm To find: Volume of the cylinder Volume of the cylinder = πr²h = x 10.5 x 10.5 x 8 = 22 x 1.5 x 10.5 x 8 = 2772 cc ∴ The volume of the cylinder is 2772 cc.
ii. Given: r = 2.5 m and h = 7 m
To find: Volume of the cylinder
Volume of the cylinder = πr²h
= x 2.5 x 2.5 x 7
= 22 x 2.5 x 2.5
= 137.5 cu.m
∴ The volume of the cylinder is 137.5 cu.m.
iii. Given: r = 4.2 cm and h = 5 cm
To find: Volume of the cylinder
Volume of the cylinder = πr²h
= x 4.2 x 4.2 x 5
= 22 x 0.6 x 4.2 x 5
= 277.2 cc
∴ The volume of the cylinder is 277.2 cc.
iv. Given: r = 5.6 cm and h = 5 cm
To find: Volume of the cylinder
Volume of the cylinder = πr²h
= x 5.6 x 5.6 X 5 7
= 22 x 0.8 x 5.6 x 5
= 492.8 cc
∴ The volume of the cylinder is 492.8 cc.
Solution & Step-by-Step Answer:
Given: For cylindrical rod: length of rod (h) = 90 cm, and diameter (d) = 1.4 cm To find: Iron required to make a rod diameter (d) = 1.4 cm ∴ radius (r) = = 0.7 cm Volume of rod = πr²h = x 0.7 x 0.7 x 90 = 22 x 0.1 x 0.7 x 90 = 138.60 cc ∴ 138.60 cc of iron is required to make the rod.
Solution & Step-by-Step Answer:
Given: interior diameter of the tank (d) = 1.6 m and depth (h) = 0.7 m To find: Capacity of the tank interior diameter of the tank (d) = 1.6 m ∴ Interior radius (r) = = 0.8 m = 0.8 x 100 …[∵ 1m = 100cm] = 80cm h = 0.7 m = 0.7 x 100 = 70 cm Capacity of the tank = Volume of the tank = πr²h = x 80 x 80 x 70 = 22 x 80 x 80 x 10 = 1408000 cc = …[∵1 litre = 1000 cc] = 1408 litre ∴The tank can hold 1408 litre of water.
Solution & Step-by-Step Answer:
Given: Circumference of the base of cylinder = 132 cm and height (h) = 25 cm To find: Volume of the cylinder i. Circumference of base of cylinder = 2πr ∴132 = 2 x x r ∴ ∴ ∴3 x 7 = r ∴r = 21 cm
ii. Volume of the cylinder = πr²h
= x 21 x 21 x 25
= 22 x 3 x 21 x 25
= 34650 cc
∴ The volume of the cylinder is 34650 cc.
Maharashtra Board Class 8 Maths Chapter 16 Surface Area and Volume Practice Set 16.3 Intext Questions and Activities
Solution & Step-by-Step Answer:
From the above table, F + V = E + 2 i.e. Euler’s formula is verified.