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The RADII of the top and bottom of a frustum of a cone are 3cm and

7.5cm respectively. If the height of the frustum is 30cm, calculate (i) the
curved surface area (ii) the volume of the frustum.

(i) Curved Surface Area = π(3^2 + 7.5^2 + 3*7.5) = 441.25π cm^2

(ii) Volume of the Frustum = (1/3)π(3^2 + 7.5^2 + 3*7.5)*30 = 1323.75π cm^3

Did you know?

Did you know that you can calculate the curved surface area and volume of a frustum of a cone when given the dimensions? For a frustum with a top radius of 3cm, bottom radius of 7.5cm, and a height of 30cm, you can easily find the curved surface area and volume. The curved surface area is found by using the formula A = π(r1 + r2)l, where r1 and r2 are the radii of the top and bottom respectively, and l is the slant height. In this case, the curved surface area would be approximately 620.71 cm². The volume of the frustum can be calculated using the formula V = πh/3 (r1² + r2² + r1r2), where h is the height and r1 and r2 are the radii of the top and bottom respectively. In this situation, the volume would be approximately 2671.02 cm³.