Question 1
Two cylindrical water tanks are similar in shape. Use the data provided to determine if the large tank has sufficient capacity to hold 15 000 litres of water.
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General Mathematics · Unit 1 · Similarity and scale · Similar figures and scale factors
Determine a scale factor and use it to solve scaling problems, e.g. calculating lengths and areas of similar figures; and calculating surface areas, volumes and capacit ies of similar solids.
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Question 2
A cylindrical water tank has a radius of $8 \text{ cm}$ and a volume of $1{,}920\pi \text{ cm}^3$. A smaller, similar cylindrical tank is created with a radius of $4 \text{ cm}$. Determine the scale factor used to reduce the larger tank, and hence find the volume of the smaller tank.
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