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Darya [45]
3 years ago
10

if a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. how many of these pitchers

can a cylinder with height 9 inches and radius 2r fill? explain how you know.
Mathematics
1 answer:
dalvyx [7]3 years ago
3 0

Answer:

4 pitchers

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

V=\pi r^{2}h

step 1

Find the volume of the cylinder  with height 9 inches and radius r

substitute the given values

V_1=\pi r^{2}(9)

V_1=9\pi r^{2}\ in^3

step 2

Find the volume of the cylinder  with height 9 inches and radius 2r

substitute the given values

V_2=\pi (2r)^{2}(9)

V_2=36\pi r^{2}\ in^3

step 3

we know that

The volume of the cylinder 1 can fill a certain pitcher,

so

The volume of the pitcher is the same that the volume of cylinder 1

therefore

the number of pitchers that can be filled by the second cylinder is equal to divide the volume of the second cylinder by the volume of the first cylinder

\frac{36\pi r^{2}}{9\pi r^{2}}=4\ pitchers

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