? A mug can hold 13.46 oz of coffee without overflowing. The radius of the mug is 3 cm. Given that 1 cm3 equals 0.034 oz, what is the height of the mug to the nearest centimeter?

14 cm

Step-by-step explanation:

Given:

A mug can hold 13.46 oz of coffee.

The radius of the mug is 3 cm.

Given that 1 equals 0.034 oz.

Question asked:

What is the height of the mug to the nearest centimeter ?

Solution:

Given that 1 equals 0.034 oz.

By unitary method:

0.034 oz = 1

1 oz =

13.46 oz =

A mug can hold 13.46 oz of coffee means volume of cylinder is given which is 395.88 . Now we can find the height of the mug by using volume of cylinder formula:

volume of cylinder =

By cross multiplication:

By dividing both side by 198

Therefore,  height of the mug to the nearest centimeter is 14 cm.

step-by-step explanation:

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents