Question

Nathan stores coffee powder in a steel container with a capacity of 68.75 cubic inches. He uses a glass container to store sugar. The two containers are congruent cylinders.

If the glass container has a height of 3.5 inches, what is its radius?
Answer
2.5 inches
3.5 inches
5.0 inches
7.0 inches

Answer 1

OK, so you're given volume V=68.75 and height h=3.5 and you want to find radius r.
Do you remember the formula for the volume of a cylinder?

Answer 2

pi r^2 h

Answer 3

right, V=pi*r^2*h
see any letters you can substitute with the given numbers?

Answer 4

You can plug in numbers for V and h. After doing so, you can solve for r. If you need more help, ask.

Answer 5

zax97, do you know the definition of congruent?

Answer 6

\[\pi r^2 h=\frac{275}{4} \]The expression above is the steel cylinder's volume. Replace h with the value of 7/2 and solve for r. The exact symbolic answer is\[5 \sqrt{\frac{11}{14 \pi }} \]The decimal numbers have been changed to their fractional equivalents. Use a calculator to convert the symbolic answer to a decimal number.

Answer 7

congruent: "coinciding exactly when superimposed."