EASY
10th Kerala Board
IMPORTANT
Earn 100

What is the surface area of a cone of base diameter 30 centimetres and height 40 centimetres?
(Note: Consider π=227)

Important Questions on Solids

MEDIUM
10th Kerala Board
IMPORTANT
Standard 10 Mathematics Part-2>Chapter 2 - Solids>Exercise 7>Q (3)
A conical fire work is of base diameter 10 centimetres and height 12 centimetres. 10000 such fireworks are to be wrapped in colour paper. The price of the colour paper is 2 rupees per square metre. What is the total cost? Use the ₹ symbol and take π=3.14.
HARD
10th Kerala Board
IMPORTANT
Standard 10 Mathematics Part-2>Chapter 2 - Solids>Exercise 7>Q (4)
Prove that for a cone made by rolling up a semicircle, the area of curved surface is twice the base area.
MEDIUM
10th Kerala Board
IMPORTANT
Standard 10 Mathematics Part-2>Chapter 2 - Solids>Exercise 8>Q (1)
The base radius and height of a cylindrical block of wood are 15 centimetres and 40 centimetres. What is the Volume of the largest cone in cm3 that can be carved out of this? Use π=3.14
MEDIUM
10th Kerala Board
IMPORTANT
Standard 10 Mathematics Part-2>Chapter 2 - Solids>Exercise 8>Q (2)
The base radius and height of a solid metallic cylinder are 12 centimetres and 20 centimetres. By melting it and recasting, how many cones of base radius 4 centimetres and height 5 centimetres can be made?
HARD
10th Kerala Board
IMPORTANT
Standard 10 Mathematics Part-2>Chapter 2 - Solids>Exercise 8>Q (3)
A sector of central angle 216° is cut out from a circle of radius 25 centimetres and it is rolled up onto a cone. What is the base radius and height of the cone. What is its Volume? Use π=3.14
EASY
10th Kerala Board
IMPORTANT
Standard 10 Mathematics Part-2>Chapter 2 - Solids>Exercise 8>Q (4)
The base radii of two cones are in the ratio 3:5 and their height are in the ratio 2:3. What is the ratio of their volumes?
EASY
10th Kerala Board
IMPORTANT
Standard 10 Mathematics Part-2>Chapter 2 - Solids>Exercise 8>Q (5)

Two cones have the same volume and their base radii are in the ratio 4:5. What is the ratio of their heights?

MEDIUM
10th Kerala Board
IMPORTANT
Standard 10 Mathematics Part-2>Chapter 2 - Solids>Exercise 9>Q (1)
The surface area of a solid sphere is 120 square centimetres. If it is cut into two equal halves, what would be the surface area of each hemisphere in cm2