Premium Online Home Tutors

3 Tutor System

Starting just at 265/hour

i) 28 cm

ii) 0.21 m.

Answer :

i)Given :

Radius of sphere = \(\frac{28}{2} cm = 14 cm\)

We know that,

Volume of sphere

= \(\frac{4}{3}{\pi}{r}^3\)

= \(\frac{4}{3} × \frac{22}{7} × {14}^3\) \({cm}^3\)

= \(11498\frac{2}{3}\) \({cm}^3\)

Therefore, the volume of the sphere is \(11498\frac{2}{3}\) \({cm}^3\).

ii)Given :

Radius of sphere = \(\frac{0.21}{2} m = 0.105 m\)

We know that,

Volume of sphere

= \(\frac{4}{3}{\pi}{r}^3\)

= \(\frac{4}{3} × \frac{22}{7} × {0.105}^3\) \({m}^3\)

= \(0.004851\) \({m}^3\)

Therefore, the volume of the sphere is \(0.004851\) \({m}^3\).

- Find the volume of a sphere whose radius isi) 7 cmii) 0.63 m
- The diameter of a metallic ball is 4.2 cm. What is the mass of the ball, if the density of the metal is 8.9 g per \({cm}^3\) ?
- The diameter of the moon is approximately one-fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon?
- How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold?
- A hemispherical tank is made up of an iron sheet 1 cm thick. If the inner radius is 1 m, then find the volume of the iron used to make the tank.
- Find the volume of a sphere whose surface area is 154 \({cm}^2\) .
- A dome of a building is in the form of a hemisphere. From inside, it was white-washed at the cost of Rs. 498.96. If the cost of white-washing is 2.00 per square metre, find thei) inside surface area of the dome,ii) volume of the air inside the dome.
- Twenty seven solid iron spheres, each of radius r and surface area S are melted to form a sphere with surface area S'. Find thei) radius r' of the new sphere,ii) ratio of S and S'.
- A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine (in \({mm}^3\)) is needed to fill this capsule?

- NCERT solutions for class 9 maths chapter 1 Number Systems
- NCERT solutions for class 9 maths chapter 2 Polynomials
- NCERT solutions for class 9 maths chapter 3 Coordinate geometry
- NCERT solutions for class 9 maths chapter 4 Linear equations in two variables
- NCERT solutions for class 9 maths chapter 5 Introduction to Euclidean Geometry
- NCERT solutions for class 9 maths chapter 6 Lines and Angles
- NCERT solutions for class 9 maths chapter 7 Triangles
- NCERT solutions for class 9 maths chapter 8 Quadrilaterals
- NCERT solutions for class 9 maths chapter 9 Areas of parallelograms and triangles
- NCERT solutions for class 9 maths chapter 10 Circles
- NCERT solutions for class 9 maths chapter 11 Constructions
- NCERT solutions for class 9 maths chapter 12 Heron's Formula
- NCERT solutions for class 9 maths chapter 13 Surface areas and volumes
- NCERT solutions for class 9 maths chapter 14 Statistics
- NCERT solutions for class 9 maths chapter 15 Probability

- NCERT solutions for class 9 science chapter 1 Matter in our Surroundings
- NCERT solutions for class 9 science chapter 2 Is Matter Around Us Pure
- NCERT solutions for class 9 science chapter 3 Atoms and Molecules
- NCERT solutions for class 9 science chapter 4 Structure of the Atom
- NCERT solutions for class 9 science chapter 5 The Fundamental Unit of Life
- NCERT solutions for class 9 science chapter 6 Tissues and Fundamental unit of life
- NCERT solutions for class 9 science chapter 7 Diversity in Living Organisms
- NCERT solutions for class 9 science chapter 8 Motion
- NCERT solutions for class 9 science chapter 9 Force and Laws of Motion
- NCERT solutions for class 9 science chapter 10 Gravitation
- NCERT solutions for class 9 science chapter 11 Work and Energy
- NCERT solutions for class 9 science chapter 12 sound
- NCERT solutions for class 9 science chapter 13 Why do We Fall Ill
- NCERT solutions for class 9 science chapter 14 Natural Resources
- NCERT solutions for class 9 science chapter 15 Improvement in Food Resources