MEDIUM
10th CBSE
IMPORTANT
Earn 100

Assertion (A) Reason (R)
A hemisphere of radius 7 cm is to be painted outside on the surface. The total cost of painting it at 5 per cm2 is 2300 The total surface area hemisphere is 3πr2.

Use: π=227

50% studentsanswered this correctly

Important Questions on Volume and Surface Areas of Solids

MEDIUM
10th CBSE
IMPORTANT

The question consists of two statements, namely,

Assertion A and Reason R. For selecting the correct answer, use the following code:

Assertion A Reason R
The number of coins 1.75 cm in diameter and 2 mm thick from a melted cuboid 10 cm×5.5 cm×3.5 cm is 400.

Volume of a cylinder of base radius r and height h is given by V=πr2h cubic units.


And, Volume of a cuboid =l×b×h cubic units.

[Use: π=227]

MEDIUM
10th CBSE
IMPORTANT

Assertion (A): If the volumes of two spheres are in the are in the ratio 27:8 then their surface areas are in the ratio 3:2.

Reason (R): Volume of Sphere =43πR3, Surface area of a sphere =4πR2.

MEDIUM
10th CBSE
IMPORTANT

Choose the correct option for the given assertion and reason.

Assertion (A) Reason (R)
The curved surface area of a cone of base radius 3 cm and height 4 cm is 15π cm2. Volume of a cone =πr2h
EASY
10th CBSE
IMPORTANT
Find the number of solid spheres, each of diameter  6 cm, that could be moulded to form a solid metallic cylinder of height 45 cm and diameter 4 cm.
EASY
10th CBSE
IMPORTANT
Two right circular cylinders of equal volumes have their heights in the ratio 1:2. What is the ratio of their radii?
EASY
10th CBSE
IMPORTANT
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 40 m, find the total area of the canvas required  
EASY
10th CBSE
IMPORTANT

The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm respectively. Find the curved surface area of the bucket.(Use π=227)

EASY
10th CBSE
IMPORTANT

A solid metal cone with a radius of base 12 cm and height 24 cm is melted to form solid spherical balls of diameter 6 cm each. Find the number of balls formed.