topic-mensuration
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DATE 09 Apr 2026
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Document Type: This is a Study Notes, designed for Reviewing core curriculum material.
Context: Core educational material suitable for current academic requirements.
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This notes resource titled "topic-mensuration" contains valuable educational content for academic study and reference. This resource is structured to facilitate effective learning and retention of important information.
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The diagram represents a large cone of height 30 cm and base diameter 15 cm. 𝐴 𝐴 10 cm 5 cm 5 cm 𝐵 10 cm 5 cm 𝐵 20 cm 15 cm 20 cm 15 cm The large cone is made by placing a small cone 𝐴 of height 10 cm and base diameter 5 cm on top of a frustum 𝐵. (a) Calculate the volume of the frustum 𝐵. Give your answer correct to 3 significant figures. The diagram shows a frustum. The diameter of the base is 3𝑑 cm and the diameter of the top is 𝑑 cm. d cm ℎ cm 3d cm The height of the frustum is ℎ cm. The formula for the curved surface area, 𝑆 cm2 , of the frustum is 𝑆 = 2𝜋𝑑√ℎ2 + 𝑑 2 (b) Rearrange the formula to make ℎ the subject. Two mathematically similar frustums have heights of 20 cm and 30 cm. The surface area of the smaller frustum is 450 cm2. (c) Calculate the surface area of the larger frustum. Mensuration (Frustum) 51 | P a g e 2. The diagram shows a square based pyramid 𝐴.
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Solids and Volumes (Frustum) 1. The diagram represents a large cone of height 30 cm and base diameter 15 cm. 𝐴 𝐴 10 cm 5 cm 5 cm 𝐵 10 cm 5 cm 𝐵 20 cm 15 cm 20 cm 15 cm The large cone is made by placing a small cone 𝐴 of height 10 cm and base diameter 5 cm on top of a frustum 𝐵. (a) Calculate the volume of the frustum 𝐵. Give your answer correct to 3 significant figures. The diagram shows a frustum. The diameter of the base is 3𝑑 cm and the diameter of the top is 𝑑 cm. d cm ℎ cm 3d cm The height...
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