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Q4. A cone has a radius of 2.9 m and a slant height of 13.8 m. Which would increase the cone's surface area more, tripling the radius or tripling the slant height?


Q5. An ice cream cone has a diameter of 14.8 cm and a slant height of 10 cm. Find the lateral surface area of the cone. Use 3.14 for π. Round your answer to the nearest tenth.

Sagot :

The answer to the two questions about total surface area and lateral surface area are; Tripling the radius will increase the total surface area and the lateral surface area is 464.7 cm²

Surface Area of a cone

The formula for the total surface area of a right circular cone is;

T.S.A = πrl + πr²

4) Cone has the following dimensions;

Radius; r = 2.9 m

Slant Height; l = 13.8 m

Thus, if we triple the radius, we have;

T.S.A = π(3 * 2.9 * 13.8) + π(3 * 2.9)²

T.S.A = 195.75π

But if we triple the slant height, we have;

A = π(2.9 * 3 * 13.8) + π(2.9)²

A = 128.47π

Thus, tripling the radius will increase the surface area

B) Formula for lateral surface area of a cone is;

L.S.A = πrl

L.S.A = π * 14.8 * 10

L.S.A ≈ 464.7 cm²

Read more about surface area of a cone; https://brainly.com/question/6613758

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