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Alexxx [7]
3 years ago
8

The cone and the cylinder below have equal surface area. True or False?

Mathematics
2 answers:
Maksim231197 [3]3 years ago
7 0

1 <u>Find the surface area of the cylinder</u>

we know that

the surface area of a cylinder is equal to

SA=2*area\ of\ the\ base +perimeter\ of\ the\ base*height

area\ of\ the\ base= \pi* r^{2}

perimeter\ of\ the\ base= 2*\pi* r

height=r

Substitute

SA=2*\pi*r^{2} +2*\pi*r*r

SA=4*\pi *r^{2}

2 <u>Find the surface area of the cone</u>

we know that

the surface area of a cone is equal to

SA=\pi*r^{2}+\pi *r*l

SA=\pi *r^{2}+\pi *r*2*r

SA=3* \pi *r^{2}

<u>3 Compare the surface area of the cylinder with the surface area of the cone</u>

4 \pi r^{2}\neq 3 \pi r^{2}

therefore

<u>the answer is</u>

False

spin [16.1K]3 years ago
6 0

Answer:

false ~apex

Step-by-step explanation:

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