# CBSE Solutions for Class 10 Maths

#### Select CBSE Solutions for class 10 Subject & Chapters Wise :

A tent is in the shape of a right circular cylinder up to a height of 3 m and conical above it. The total height of the tent is 13.5 m and the radius of its base is 14 m. Calculate the cost of cloth required to make the tent at the rate of Rs.80 per square meter.

Hence, the curved surface area of the tent = 1034 m2

Cost of canvas = Rs.(1034 × 80) = Rs. 82720

A military tent of height 8.25 m is in the form of a right circular cylinder of base diameter 30 m and height 5.5 in surmounted by a right circular cone of same base radius. Calculate the length of canvas used in making the tent, if the breadth of the canvas is 1.5 m.

The surface area of a sphere is 2464 cm2. If its radius be doubled, find the surface area of the new sphere.

If the total surface area of a solid hemisphere is 462 cm2, calculate its volume.

Two cubes each of volume 27 cm' are joined end to end to form a solid. Calculate the surface area of the resulting cuboid.

The volume of a hemisphere is 2425.5 cm3 . Calculate its surface area.

The sum of the radius of the base and the height of a solid cylinder is 37 metres. If the total surface area of the cylinder be 1628 sq metres, calculate its volume.

The slant height of a conical mountain is 2.5 km and the area of its base is 1.54 km2. Calculate the height of the mountain.

If the volumes of two cones are in the ratio of 1: 4 and their diameters are in the ratio of 4 : 5, calculate the ratio of their heights.

A 5-m-wide cloth is used to make a conical tent of base diameter 14 m and height 24 m. Calculate the cost of cloth used at the rate of Rs. 25 per metre.

The volume of a cube is 729 cm3. Calculate its surface area.

A river 1.5 m deep and 36 m wide is flowing at the rate of 3.5 km/hr. Find the amount of water (in cubic metres) that runs into the sea per minute.

Calculate cubes of 10 cm edge can be put in a cubical box of 1 m edge?

Three cubes of iron whose edges are 6 cm, 8 cm and 10 cm respectively are melted and formed into a single cube. Calculate the edge of the new cube formed.

Five identical cubes, each of edge 5 cm, are placed adjacent to each other. Calculate the volume of the resulting cuboid.

Cuboid

 1 Total Surface Area A 2h(l+b) + lb 2 Total Surface Area without lid B 2h(l+b) 3 Curved Surface Area C 2(lb + bh + lh) 4 Volume D Lbh

1-C, 2-A, 3-B, 4-D

 1 Total Surface Area of Sphere A 3πr2 2 Volume of Sphere B 23πr3 3 Total Surface Area of Hemisphere C 43πr3 4 Volume of Sphere D 4πr2

1-D, 2-C, 3-A, 4-B

Cone

 1 Total Surface Area A πr(r+l) 2 Volume B πrl 3 Curved Surface Area C 13 πr2h

1-A, 2-C, 3-B

Cylinder

 1 Total Surface Area A πr2h 2 Total Surface Area without lid B 2πr(h+r) 3 Curved Surface Area C πr(2h+r) 4 Volume D 2πrh

1-B, 2-C, 3-D, 4-A

Cube

 1 Total Surface Area A 4s2 2 Total Surface Area without lid B 6s2 3 Curved Surface Area C s3 4 Volume D 5s2

1-B, 2-D, 3-A, 4-C

### Chapter 12 : Areas Related to Circle

Topics covered in Chapter 13, Surface Areas and Volumes are;
• The surface area of a combination of Solids
• The volume of a combination of solids
• Conversion of solid from one shape to another
• Frustum of a cone

### Browse & Download CBSE Books For Class 10 - All Subjects

The GSEB Books for class 10 are designed as per the syllabus followed Gujarat Secondary and Higher Secondary Education Board provides key detailed, and a through solutions to all the questions relating to the GSEB textbooks.

The purpose is to provide help to the students with their homework, preparing for the examinations and personal learning. These books are very helpful for the preparation of examination.

For more details about the GSEB books for Class 10, you can access the PDF which is as in the above given links for the same.