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dem82 [27]
3 years ago
6

A cylindrical container can hold about 1,256 cubic inches of water.the diameter of the cylinder is 10 inches long.approximate th

e height of the cylinder to the nearest inch.use 3.14 to approximate the value for pi
A.16
B.80
C.40
D.4
Mathematics
2 answers:
sp2606 [1]3 years ago
4 0

Answer:

16 in.

Step-by-step explanation:

Yuki888 [10]3 years ago
3 0

Answer: A. 16 inches

Step-by-step explanation:

The volume of the cylinder is given by :-

\text{Volume}=\pi r^2h

Given: Diameter of cylinder =  10 inches

Thus, radius of cylinder = \frac{10}{2}=5\ inches

Let h be the height of the  cylindrical container.

Then , The volume of the cylindrical container is given by :-

1256=\pi (5)^2h\\\\\Rightarrow\ h=\frac{1256}{5^2\pi}\\\\\Rightarrow\ h=\frac{1256}{25\times3.14}\\\\\Rightarrow\ h=16}

Hence, the height of the  cylindrical container = 16 inches.

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