Question

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

Answer 1

1 Find the surface area of the cylinder

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 Find the surface area of the cone

we know that

the surface area of a cone is equal to

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

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

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

3 Compare the surface area of the cylinder with the surface area of the cone

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

therefore

the answer is

False

Answer 2

Answer:

false ~apex

Step-by-step explanation: