Class 10 Maths — Combined solids

1.A solid is a cylinder of radius 7 cm and height 10 cm with a cone of radius 7 cm and height 12 cm standing on top of it. Take π = 22/7. What is the volume of the cylinder part, in cubic centimetres?

2.A toy is a cone standing on a hemisphere, both of radius 7 cm. The cone is 24 cm tall. What is the cone's slant height, in centimetres?

3.A solid is a cylinder of radius 7 cm and height 10 cm with a cone of radius 7 cm and height 12 cm standing on top of it. Take π = 22/7. What is the volume of the cone part, in cubic centimetres?

4.A solid is a cylinder of radius 7 cm and height 10 cm with a cone of radius 7 cm and height 12 cm standing on top of it. Take π = 22/7. What is the total volume of the solid, in cubic centimetres?

5.A cone has a radius of 7 cm and a slant height of 25 cm. Take π = 22/7. What is its curved surface area, in square centimetres?

6.A toy is a cone of slant height 25 cm standing on a hemisphere, both of radius 7 cm. Take π = 22/7. What is the total surface area of the toy, in square centimetres?

7.It takes exactly three coneloads to fill a cylinder of the same radius and height. That cylinder holds 1848 cubic centimetres. How much does the cone hold, in cubic centimetres?

8.A cylinder of radius 7 cm and height 10 cm has a cone of radius 7 cm and slant height 25 cm standing on top of it. Its outside is the cone's curved surface, the cylinder's curved surface and the circular base. Take π = 22/7. What is the total surface area, in square centimetres?