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1 vote
? 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?

User Amit Anand
by
6.4k points

2 Answers

6 votes

Answer:

9 cm

Explanation:

User Steve Friedl
by
6.4k points
6 votes

Answer:

14 cm

Explanation:

Given:

A mug can hold 13.46 oz of coffee.

The radius of the mug is 3 cm.

Given that 1
cm^(3) equals 0.034 oz.

Question asked:

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

Solution:

Given that 1
cm^(3) equals 0.034 oz.

By unitary method:

0.034 oz = 1
cm^(3)

1 oz =
(1)/(0.034)

13.46 oz =
(1)/(0.034)*13.46 =395.88 \ cm^(3)

A mug can hold 13.46 oz of coffee means volume of cylinder is given which is 395.88
cm^(3). Now we can find the height of the mug by using volume of cylinder formula:

volume of cylinder =
\pi r^(2) h


395.88=(22)/(7) *3*3* \ h\\395.88=(198 \ h)/(7)

By cross multiplication:


395.88* 7 =198\ h\\2771.16= 198\ h

By dividing both side by 198


h = 13.99
cm

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

User Carsten Hagemann
by
6.7k points
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