Chapter 13 – Surface Areas and Volumes
Rain water which falls on a flat rectangular surface of length 6 m and breadth 4 m is transferred into a cylindrical vessel of internal radius 20 cm. What will be the height of water in the cylindrical vessel if the rain fall is 1 cm. Give your answer to the nearest integer. (Take π = 3.14)
03
Jul
Rain water which falls on a flat rectangular surface of length 6 m and breadth 4 m is transferred into a cylindrical vessel of internal radius 20 cm. What will be the height of water in the cylindrical vessel if the rain fall is 1 cm. Give your answer to the nearest integer. (Take π [...]
The radius of a sphere is increased by 10%. Prove that the volume will be increased by 33.1% approximately.
03
Jul
The radius of a sphere is increased by 10%. Prove that the volume will be increased by 33.1% approximately. The radius of a sphere is increased by 10%. Prove that the volume will be increased by 33.1% approximately. July 3, 2021 Category: Chapter 13 - Surface Areas and Volumes , Maths , NCERT Class 9 [...]
The surface area of a sphere of radius 5 cm is five times the area of the curved surface of a cone of radius 4 cm. Find the height and the volume of the cone.
03
Jul
The surface area of a sphere of radius 5 cm is five times the area of the curved surface of a cone of radius 4 cm. Find the height and the volume of the cone. The surface area of a sphere of radius 5 cm is five times the area of the curved surface of [...]
An edge of a cube measures r cm. If the largest possible right circular cone is cut out of this cube, then the volume of the cone (in cm^3) is 1/6 π r^3.
03
Jul
An edge of a cube measures r cm. If the largest possible right circular cone is cut out of this cube, then the volume of the cone (in cm^3) is 1/6 π r^3. An edge of a cube measures r cm. If the largest possible right circular cone is cut out of this cube then [...]
A right circular cylinder just encloses a sphere of radius r as shown in Fig 13.1. The surface area of the sphere is equal to the curved surface area of the cylinder.
03
Jul
A right circular cylinder just encloses a sphere of radius r as shown in Fig 13.1. The surface area of the sphere is equal to the curved surface area of the cylinder. A right circular cylinder just encloses a sphere of radius r as shown in Fig 13.1. The surface area of the sphere is [...]
In a cylinder, if radius is halved and height is doubled, the volume will be
03
Jul
In a cylinder, if radius is halved and height is doubled, the volume will be if radius is halved and height is doubled In a cylinder the volume will be July 3, 2021 Category: Chapter 13 - Surface Areas and Volumes , Maths , NCERT Class 9 ,
8. 30 circular plates, each of radius 14 cm and thickness 3cm are placed one above the another to form a cylindrical solid. Find : (i) the total surface area (ii) volume of the cylinder so formed.
03
Jul
8. 30 circular plates, each of radius 14 cm and thickness 3cm are placed one above the another to form a cylindrical solid. Find : (i) the total surface area (ii) volume of the cylinder so formed. 8. 30 circular plates each of radius 14 cm and thickness 3cm are placed one above the another [...]
7. A sphere and a right circular cylinder of the same radius have equal volumes. By what percentage does the diameter of the cylinder exceed its height ?
03
Jul
7. A sphere and a right circular cylinder of the same radius have equal volumes. By what percentage does the diameter of the cylinder exceed its height ? 7. A sphere and a right circular cylinder of the same radius have equal volumes. By what percentage does the diameter of the cylinder exceed its height [...]
6. A cube of side 4 cm contains a sphere touching its sides. Find the volume of the gap in between.
03
Jul
6. A cube of side 4 cm contains a sphere touching its sides. Find the volume of the gap in between. 6. A cube of side 4 cm contains a sphere touching its sides. Find the volume of the gap in between. July 3, 2021 Category: Chapter 13 - Surface Areas and Volumes , Maths [...]
5. The volumes of the two spheres are in the ratio 64 : 27. Find the ratio of their surface areas.
03
Jul
5. The volumes of the two spheres are in the ratio 64 : 27. Find the ratio of their surface areas. 5. The volumes of the two spheres are in the ratio 64 : 27. Find the ratio of their surface areas. July 3, 2021 Category: Chapter 13 - Surface Areas and Volumes , Maths [...]