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RD Chapter 20 Surface Areas and Volume of A Right Circular Cone Ex 20.2 Solutions

Question - 11 : - A right angled triangle of which the sides containing the right angle are 6.3 cm and 10 cm in length, is made to turn round on the longer side. Find the volume of the solid, thus generated. Also, find its curved surface area.

Answer - 11 : -

Length of sides of a right angled triangle are 6.3 cm and 10 cm
By turning around the longer side, a cone is formed in which radius (r) = 6.3 cm
and height (h) = 10 cm

Question - 12 : - Find the volume of the largest right circular cone that can be fitted in a cube whose edge is 14 cm.

Answer - 12 : -

Side of cube = 14 cm ,
Radius of the largest cone that can be fitted

Question - 13 : -
The volume of a right circular cone is 9856 cm3. If the diameter of the base is 28 cm, find:
(i) height of the cone
(ii) slant height of the cone
(iii) curved surface area of the cone. [NCERT]

Answer - 13 : - Volume of a right circular cone = 9856 cm3
Diameter of the base = 28 cm

Question - 14 : - A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kilolitres? [NCERT]

Answer - 14 : - Diameter of the top of the conical pit = 3.5 m

Question - 15 : - Monica has a piece of Canvas whose area is 551 m2. She uses it to have a conical tent made, with a base radius of 7 m. Assuming that all the stitching margins and wastage incurred while cutting, amounts to approximately 1 m2. Find the volume of the tent that can be made with it. [NCERT]

Answer - 15 : -

Area of Canvas = 551 m2
Area of wastage = 1 m2
Actual area = 551 – 1 = 550 m2
Base radius of the conical tent = 7 m
 
Let l be the slant height and h be the vertical

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