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

Question

3 years ago

6

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

2 answers:

sp2606 [1] · Answer 1 · 2022-05-05T08:22:40+03:00

sp2606 [1]3 years ago

4 0

Answer:

16 in.

Step-by-step explanation:

Yuki888 [10] · Answer 2 · 2022-05-05T07:21:56+03:00

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.