EASY
10th ICSE
IMPORTANT
Earn 100

A vessel is in the form of an inverted cone. Its height is 8cm and the radius of its top, which is open, is 5cm. It is filled with water up to the rim. When lead shots, each of which is sa sphere of radius 0.5cm, are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.π=227

Important Questions on Cylinder, Cone and Sphere (Surface Area and Volume)

EASY
10th ICSE
IMPORTANT
Concise Mathematics>Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume)>EXERCISE>Q 6
A hemi-spherical bowl has negligible thickness and the length of its circumference is 198cm. Find the capacity of the bowl.π=227.
EASY
10th ICSE
IMPORTANT
Concise Mathematics>Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume)>EXERCISE>Q 7
Find the maximum volume of a cone that can be craved out of a solid hemisphere of radius r cm. 
EASY
10th ICSE
IMPORTANT
Concise Mathematics>Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume)>EXERCISE>Q 8
The radii of the bases of two solid right circular cones of same height are r1 and r2 respectively. The cones are melted and recast into a solid sphere of radius R. Find the height of each cone in terms of r1 , r2 and R.
EASY
10th ICSE
IMPORTANT
Concise Mathematics>Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume)>EXERCISE>Q 9
A solid metallic hemisphere of diameter 28cm is melted and recast into a number of identical solid cones, each of diameter 14cm and height 8cm. Find the number of cones so formed.π=227
EASY
10th ICSE
IMPORTANT
Concise Mathematics>Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume)>EXERCISE>Q 10
A cone and a hemisphere have the same base and the same height. Find the ratio between their volumes.
HARD
10th ICSE
IMPORTANT
Concise Mathematics>Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume)>EXERCISE>Q 1
From a solid right circular cylinder with height 10 cm and radius of the base 6 cm, a right circular cone of the same height and same base is removed. Find the volume of the remaining solid.π=227
EASY
10th ICSE
IMPORTANT
Concise Mathematics>Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume)>EXERCISE>Q 2
From a solid cylinder whose height is 16 cm and radius is 12 cm, a conical cavity of height 8 cm and of base radius 6 cm is hollowed out. Find the volume and total surface area of the remaining solid.
MEDIUM
10th ICSE
IMPORTANT
Concise Mathematics>Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume)>EXERCISE>Q 3

A circus tent is cylindrical to a height of 4 m and conical above it. If its diameter is 105 m and its slant height is 80 m, calculate the total area of canvas required. Also, find the total cost of canvas used at Rs 15 per metre if the width is 1.5 m.