Curved surface area formulae.
13 original questions, 54 marks. Print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.
The surface area of a sphere is 4πr2.
A cone has base radius 6 cm and slant height 10 cm. Give your answers in terms of π.
Three quarters of the surface area of a sphere is 108π cm².
Work out the diameter of the sphere.
A cone has base radius 5 cm and perpendicular height 12 cm.
A solid hemisphere has volume 18π cm³.
Work out the total surface area of the hemisphere.
Give your answer in terms of π.
A solid toy is made from a hemisphere joined to the circular base of a cone. Both have radius 4 cm. The cone has perpendicular height 3 cm.
Work out the total surface area of the toy. Give your answer correct to 3 significant figures.
The volume of a solid hemisphere is 144π cm3.
Work out the total surface area of the hemisphere. Give your answer in terms of π.
A solid cone has base radius 6 cm.
The total surface area of the cone is 96π cm².
Work out the vertical height of the cone.
A sphere has radius 6 cm. A cone has base radius 6 cm. The curved surface area of the cone is equal to the surface area of the sphere.
A large cone has base radius 9 cm and slant height 15 cm. A smaller cone is cut off the top, leaving a frustum. The cone that was cut off has base radius 3 cm.
Work out the total surface area of the frustum. Give your answer correct to 3 significant figures.
A large cone has base radius 9 cm and vertical height 12 cm.
A smaller, similar cone of base radius 3 cm and vertical height 4 cm is removed from the top of the large cone, leaving a frustum.
Calculate the curved surface area of the frustum.
Give your answer correct to 3 significant figures.
A solid cone has base radius 5 cm.
The curved surface area of the cone is 65π cm².
Work out the volume of the cone.
Give your answer correct to 3 significant figures.
A solid square-based pyramid has base edges of 10 cm and vertical height 12 cm. The apex is directly above the centre of the base.
Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.