HARD
9th CBSE
IMPORTANT
Earn 100

The radius and height of a right circular cone are in the ratio 5: 12 and its volume is 2512 cubic cm. Find the slant height and radius of the cone. ( Use π=3.14)

Important Questions on Surface Area and Volume of a Right Circular Cone

MEDIUM
9th CBSE
IMPORTANT
Mathematics Class 9>Chapter 20 - Surface Area and Volume of a Right Circular Cone>EXERCISE>Q 6
The ratio of volumes of two cones is 4: 5 and the ratio of the radii of their bases is 2: 3, Find the ratio of their vertical heights.
MEDIUM
9th CBSE
IMPORTANT
Mathematics Class 9>Chapter 20 - Surface Area and Volume of a Right Circular Cone>EXERCISE>Q 7
A cylinder and a cone have equal radii of their bases and equal heights. Show that their volumes are in the ratio 3 : 1 .
MEDIUM
9th CBSE
IMPORTANT
Mathematics Class 9>Chapter 20 - Surface Area and Volume of a Right Circular Cone>EXERCISE>Q 8
If the radius of the base of a cone is halved, keeping the height same, what is the ratio of the volume of the reduced cone to that of the original cone?
MEDIUM
9th CBSE
IMPORTANT
Mathematics Class 9>Chapter 20 - Surface Area and Volume of a Right Circular Cone>EXERCISE>Q 9
A heap of wheat is in the form of a cone of diameter 9 m and height 3.5 m. Find its volume. How much canvas cloth is required to just cover the heap?(Use π=3.14)
MEDIUM
9th CBSE
IMPORTANT
Mathematics Class 9>Chapter 20 - Surface Area and Volume of a Right Circular Cone>EXERCISE>Q 10
Find the weight of a solid cone whose base is of diameter 14cm and vertical height 51cm, supposing the material of which it is made weighs 10 grams per cubic cm.
HARD
9th CBSE
IMPORTANT
Mathematics Class 9>Chapter 20 - Surface Area and Volume of a Right Circular Cone>EXERCISE>Q 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 around on the longer side. Find the volume of the solid, thus generated. Also, find its curved surface area.
MEDIUM
9th CBSE
IMPORTANT
Mathematics Class 9>Chapter 20 - Surface Area and Volume of a Right Circular Cone>EXERCISE>Q 12
Find the volume of the largest right circular cone that can be fitted in a cube whose edge is 14 cm.
MEDIUM
9th CBSE
IMPORTANT
Mathematics Class 9>Chapter 20 - Surface Area and Volume of a Right Circular Cone>EXERCISE>Q 13

The volume of a right circular cone is 9856 cm3. If the diameter of the base is 28 cm, find:

 height of the cone