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nordsb [41]
3 years ago
11

What is the volume of soup that will fit in a cylindrical-shaped can with a height that is 2 inches longer than the radius?

Mathematics
2 answers:
Drupady [299]3 years ago
6 0

Answer: V=\pi r^3+2\pi r^2

Step-by-step explanation:

Let r be the height of the cylinder then , the height of the cylinder will be (r+2).

The formula to find the volume of cylinder is given by :-

V=\pi r^2h

Then, the volume of the cylinder will be :-

V=\pi r^2((r+2))\\\\\Rightarrow\ V=\pi r^2(r)+\pi r^2(2)\\\\\Rightarrow\ V=\pi r^3+2\pi r^2

Hence, the volume of soup that will fit in a cylindrical-shaped can with a height that is 2 inches longer than the radius = V=\pi r^3+2\pi r^2

trasher [3.6K]3 years ago
4 0

Answer:

V = πr³ + 2πr²

Step-by-step explanation:

Volume of a cylinder:

V = πr²h

with radius r and height h = 2 + r:

V = πr²(2 + r) = πr³ + 2πr²

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