ISLAMIYA ENGLISH SCHOOL, ABU DHABI.



GRADE: 9 CYLINDERS, CONES AND SPHERES CHAPTER : 7ASSIGNMENT-2A right circular cone has a height of 8.5 cm and base radius of 4 cm. Calculate the volume, in cm3 to 3 significant figures, of the cone.A right circular cone has a height 15 cm and base radius 6 cm. Calculate the volume, in cm3 to 2 significant figures, of the cone.A solid right circular cone has a height of 10 cm and a base radius of 5 cm. Calculate the total surface area, in cm2 to 3 significant figures, of the cone.A right circular cone has a base radius 7 cm and perpendicular height 24 cm. Show that the curved surface area is 175π cm2.A cylinder has a radius of 5 cm and height 15 cm. A second cylinder has a radius of 10 cm. Given that the two cylinders have the same volume, calculate the height, in cm, of the second cylinder.The volume of a right circular cylinder is 2916π cm3. The height of the cylinder is four times the radius of the base. Calculate the radius, in cm, of the base. A right circular cylinder has a base radius of 6 cm and a height of 8 cm. Find the volume, in cm3, of the cylinder. Give your answer in terms of π.The height of a right circular cylinder is four times the radius of the base of the cylinder. The volume of the cylinder is 500π cm3. Calculate, in cm, the radius of the base of the cylinder.A sphere has radius 6 cm. Calculate, to 3 significant figures,the volume, in cm3, of the sphere.the length, in cm, of one edge of a cube having the same volume as the sphere.The volume of a sphere is 1200 cm3.Calculate the radius, in cm to the nearest cm, of the sphere.A right circular cone has height 12 cm and base radius 5 cm.Show that the curved surface area of the cone is 65π cm2.A similar cone has a height 36 cm.Find the curved surface area, in cm2, of this cone in terms of π.A hemispherical bowl of radius 34 cm contains water to a depth of 18 cm. Calculate the area, in cm2 to 3 significant figures, of the surface of the water.A solid, S, made of wood, is formed by removing a right circular cone from a right circular cylinder. The radius of the cylinder is 12 cm, the radius of the cone is 12 cm and the slant height of the cone is 20 cm. The cone and the cylinder have the same height. Calculate the volume, in cm3 to 3 significant figures, of the wood in S.A solid cube has sides of length 4 cm. A hemisphere of radius 1.5 cm is removed from the cube as shown in the figure. Calculate the total surface area, in cm2 to 3 significant figures.A solid right circular cone has a slant height of 17 cm and a base radius of 8 cm. Show that the total surface area of the cone is 200π cm2.A tank in the shape of a cuboid measures 80 cm by 40 cm by 30 cm. The tank is completely full with water.Find the volume, in cm3, of water in the tank.Water flows out of the tank through a cylindrical pipe of radius 5 cm at a constant rate of 4 cm/s. Calculate the time, in seconds to the nearest second, taken to empty half of the water out of the tank.The volume of a right circular cylinder of height 13 cm is 117π cm3. Calculate, in cm, the radius of the cylinder.x-----------x------------x ................
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