## Important Questions for Class 10 Maths Surface Areas and Volumes

- The radius ( in cm ) of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is___

a) 4.2 b) 2.1 c) 8.4 d) 1.05

2. .A cone and a hemisphere have equal bases and equal volumes. The ratio of their heights is____

a) 1:3 b) 1:2 c) 2:1 d) 3: 1

3. A solid is hemispherical at bottom and conical above. If the surface areas of the two parts are equal, then the ratio of its radius and height of its conical part, is :

a) 1 : âˆš3

b) 2 : âˆš3

c) âˆš3: 2 d) 1 : 2

4. The total surface area of a solid hemisphere of radius 7 cm is ____cm^{2}

a) 447Ï€

b) 239Ï€

c) 147Ï€

d) 174Ï€

5. A spherical iron ball is dropped into a cylindrical vessel of base diameter 14 cm, containing water. The water level is increased by 28/3 cm. The radius of the ball is_______

a)3.5 cm b) 7 cm c) 9cm d) 12 cm

**SUBJECTIVE TYPE QUESTIONS**

6. A 5m wide cloth is used to make conical tent of base diameter 14 m and height 24 m. Find the cost of cloth used at the rate of Rs.25 per meter

7. A metallic cylinder has radius 3 cm and height 5 cm. To reduce its weight, a conical hole is drilled in the cylinder. The conical hole has a radius of 3/2 cm and its depth 8/9 cm. Calculate the ratio of the volume of metal left in the cylinder to the volume of metal taken out in conical shape.

8. The rain water from 22m x 20m roof drains into a cylindrical vessel of diameter 2m and height 3.5 m. If the rain water collected from the roof fills (4/5)th of cylindrical vessel then find the rainfall in cm.

9. A cylinder, a cone and a hemisphere are of equal base and have the same height. What is the ratio of their volumes?

10. A circus tent is in the shape of a cylinder surmounted by a conical roof. If the common diameter is 56 m, the height of the cylindrical portion is 6 m and height of the roof from the ground is 27 m, then find the area of the canvas used for the tent.

11. An iron pillar consists of a cylindrical portion 240 cm high and 16 cm in diameter and a cone 36 cm high surmounting it. Find the weight of the pillar if one cu cm of iron weighs 7.8 grams.

12. What is the ratio of volume of a cube to that of a sphere which will fit inside it ?

13. The sum of the radius of base and height of a solid right circular cylinder is 37 cm. If the total surface area of the solid is 1628 sq.cm. find the volume of cylinder.( use Ï€= 22/7)

14. A toy is in the form of a hemisphere surmounted by a right circular cone of the same radius as that of the hemisphere. If the radius of the cone is 21 cm and its volume is 2/3 of the volume of the hemisphere, calculate the height of the cone and surface area of the toy.

15. **Assertion: Number of spherical balls that can be made out of a solid cube lead whose edge is 44cm each ball being 4 cm in diameter are 2541**

**Reason: Number of balls = ( volume of one ball )/( volume of lead)**

16.**Assertion: If volumes of two spheres are in the ratio 64 : 27, then the ratio of their surface area, is 4 : 3 **

**Reason: Volume of a right circular cylinder is **

Ï€**r ^{2}h.**

__CASE STUDY :__

On a Sunday, your Parents took you to a fair. You could see lot of toys displayed, and you wanted them to buy a RUBIKâ€™s cube and strawberry ice-cream for you.

Observe the figures and answer the questions-:

- Find the length of the diagonal if each edge measures 6cm
- Find the volume of the solid figure if the length of the edge is 7cm
- What is the curved surface area of hemisphere (ice cream) if the base radius is 7cm?
- What is the slant height of a cone if the radius is 7cm and the height is 24 cm?

MCQ VIDEOS ALL CHAPTERS CLASS 10 MATHShttps://www.youtube.com/watch?v=-eBlHyBxjLg&list=PL2uPMjJCHErQZZNipbsnagBqPrCU_WRN8

**MCQ Questions for Class 10 Maths all Chapters****https://sharmatutorial.in/category/mcq-class-10-maths/**

Ncert Solutions Class 10 Maths Exercise 1.1 https://10thmathsguide.com/exercise-11-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 1.2

Ncert Solutions Class 10 Maths Exercise 2.1 https://10thmathsguide.com/exercise-21-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 2.2

Ncert Solutions Class 10 Maths Exercise 3.1 https://10thmathsguide.com/exercise-31-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 3.2 https://10thmathsguide.com/exercise-32-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 3.3 https://10thmathsguide.com/exercise-33-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 4.1 https://10thmathsguide.com/exercise-41-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 4.2 https://10thmathsguide.com/exercise-42-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 4.3 https://10thmathsguide.com/exercise-43-class-10-maths/

Important Questions for Class 10 Maths Surface Areas and Volumes

Important Questions for Class 10 Maths Surface Areas and Volumes

Important Questions for Class 10 Maths Surface Areas and Volumes

Important Questions for Class 10 Maths Surface Areas and Volumes

Important Questions for Class 10 Maths Surface Areas and Volumes