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RD Chapter 20 Surface Areas and Volume of A Right Circular Cone Ex VSAQS Solutions

Question - 1 : - The height of a cone is 15 cm. If its volume is 500π cm3, then find the radius of its base.

Answer - 1 : - Volume of cone = 500π cm3
and height (h) = 15 cm

Question - 2 : - If the volume of a right circular cone of height 9 cm is 48π cm3, find the diameter of its base.

Answer - 2 : - Volume of a cone = 48π cm3
Height (h) = 9 cm

Question - 3 : - If the height and slant height of a cone are 21 cm and 28 cm respectively. Find its volume.

Answer - 3 : -

Height of a cone (h) = 21 cm
and slant height (l) = 28 cm

Question - 4 : - The height of a conical vessel is 3.5 cm. If its capacity is 3.3 litres of milk. Find the diameter of its base.

Answer - 4 : - Capacity of conical vessel = 3.3 litres
Volume = 3.3 m3
= 3.3 x 1000 = 3300 cm2

Question - 5 : - If the radius and slant height of a cone are in the ratio 7 : 13 and its curved surface area is 286 cm2, find its radius.

Answer - 5 : - Two ratio in radius and slant height of a cone = 7 : 13
Let radius (r) = 7x
and slant height (1) = 13x
Curved surface area = πrl

Question - 6 : - Find the area of canvas required for a conical tent of height 24 m and base radius 7 m.

Answer - 6 : -

Base radius of the closed cone (r) = 7 cm
and vertical height (h) = 24 cm

Question - 7 : - Find the area of metal sheet required in making a closed hollow cone of base radius 7 cm and height 24 cm. making a closed hollow cone of base radius 7 cm and height 24 cm.

Answer - 7 : -

Base radius of the closed cone (r) = 7 cm
and vertical height (h) = 24 cm

Question - 8 : - Find the length of cloth used in making a conical pandal of height 100 m and base radius 240 m, if the cloth is 100π m wide.

Answer - 8 : -

Height of conical pandal (A) = 100 m
Base radius (r) = 240 m

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