Two cones are similar in shape, one being a scale model of the other. Their heights are 5 cm and 8 cm. The total surface area of the smaller cone is 100 cm². Find the total surface area of the larger cone in cm².

Question

Accepted Answer

256. The linear ratio is 8 : 5. Surface areas of similar solids are in the ratio of the squares of corresponding lengths, so the larger area = 100 × (8/5)² = 100 × 64/25 = 256 cm².

Two cones are similar in shape, one being a scale model of the other. Their heights are 5 cm and 8 cm. The total surface area of the smaller cone is $100 cm^{2}$ . Find the total surface area of the larger cone in $cm^{2}$ .

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More Areas & Volumes practice

Two cones are similar in shape, one being a scale model of the other. Their heights are 5 cm and 8 cm. The total surface area of the smaller cone is 100cm2. Find the total surface area of the larger cone in cm2.

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Areas & Volumes practice

Two cones are similar in shape, one being a scale model of the other. Their heights are 5 cm and 8 cm. The total surface area of the smaller cone is $100 cm^{2}$ . Find the total surface area of the larger cone in $cm^{2}$ .