2 years ago

The cone and cylinder below have equal surface area. True or false.

Mathematics

1 answer:

eduard2 years ago

8 0

Answer:

False

Step-by-step explanation:

SA of cone = pi×r×l + pi×r²

= pi×r×(3r) + pi×r²

= 3pi×r² + pi×r²

= 4pi×r²

SA of cylinder = 2pi×r×h + 2pi×r²

= 2pi×r×2r + 2pi×r²

= 4pi×r² + 2pi×r²

= 6pi×r²

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Step-by-step explanation:

From the picture attached,

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Lateral height of the cone = h

By applying Pythagoras theorem in the right triangle of the cone,

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Since, formula for the volume of the cone V = $\frac{1}{3} \pi r^{2} h$

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