Question

The cone and cylinder below have equal surface area

Answer 1

ok so i just took this on a p 3 x and its true i have a screenshot . i got the question wrong it's definitely true .

Explanation:

Answer 2

Option B, False

Explanation:

Step 1: Get the surface area formulas for both shapes

Surface Area Formula for Cone:
`A = \pi * r(r + \sqrt{h^(2) + r^(2)})`

Surface Area Formula for Cylinder:
`A = 2\pi rh+2\pi r^(2)`

Step 2: Plug in the values and solve

Cone:
`A = \pi * r(r + \sqrt{(3r)^(2) + r^(2)})`

Cone:
`A = \pi r^(2) + \pi √(10)r^(2)`

Cylinder:
`A = 2\pi r*r+2\pi r^(2)`

Cylinder:
`A=4 \pi r^(2)`

Step 3: Compare

`\pi r^(2) + \pi √(10)r^(2)\\eq 4 \pi r^(2)`

They are not equal, therefore the answer is False.

Answer: Option B, False