## RD Sharma Class 9 Solutions Chapter 20 Surface Areas and Volume of A Right Circular Cone VSAQS

These Solutions are part of RD Sharma Class 9 Solutions. Here we have given RD Sharma Class 9 Solutions Chapter 20 Surface Areas and Volume of A Right Circular Cone VSAQS

Other Exercises

- RD Sharma Class 9 Solutions Chapter 20 Surface Areas and Volume of A Right Circular Cone Ex 20.1
- RD Sharma Class 9 Solutions Chapter 20 Surface Areas and Volume of A Right Circular Cone Ex 20.2
- RD Sharma Class 9 Solutions Chapter 20 Surface Areas and Volume of A Right Circular Cone VSAQS
- RD Sharma Class 9 Solutions Chapter 20 Surface Areas and Volume of A Right Circular Cone MCQS

Question 1.

The height of a cone is 15 cm. If its volume is 500π cm^{3}, then find the radius of its base.

Solution:

Volume of cone = 500π cm^{3}

and height (h) = 15 cm

Question 2.

If the volume of a right circular cone of height 9 cm is 48π cm^{3}, find the diameter of its base.

Solution:

Volume of a cone = 48π cm^{3}

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.

Solution:

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.

Solution:

Capacity of conical vessel = 3.3 litres

Volume = 3.3 m^{3}

= 3.3 x 1000 = 3300 cm^{2}

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.

Solution:

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.

Solution:

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.

Solution:

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.

Solution:

Height of conical pandal (A) = 100 m

Base radius (r) = 240 m

Hope given RD Sharma Class 9 Solutions Chapter 20 Surface Areas and Volume of A Right Circular Cone VSAQS are helpful to complete your math homework.

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