3 years ago

A cylindrical vase has a volume of 216 cubic inches the diameter of the vase is 5 inches

Mathematics

1 answer:

Soloha48 [4]3 years ago

4 0

Answer: 11 in.

Step-by-step explanation:

Given

The volume of the cylindrical vase is $216\ in^3$

Inside diameter is $d=5\ in.$

$(\text{radius is given by }r=\dfrac{d}{2})$

Suppose, h is the height of the vase

Volume is given by

$V=\pi r^2h$

Insert the values

$\Rightarrow 216=\pi \times 2.5^2\times h\\\\\Rightarrow h=\dfrac{216}{6.25\times 3.142}\\\\\Rightarrow h=10.999\approx 11\ in.$

Thus, the height of the vase is $11\ in.$

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