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3 votes
6. The coffee mug has the dimensions shown. If

you fill the mug all the way to the top, how
much coffee can it hold? Round your answer
to the nearest tenth.
8.9 cm
7.5 cm
Nobody's
perfear
8.4 cm

6. The coffee mug has the dimensions shown. If you fill the mug all the way to the-example-1
User GarethJ
by
8.0k points

1 Answer

6 votes

Answer:

282.7 (rounded to the nearest tenth)

Explanation:

Using the given dimensions of the coffee mug, we can calculate the volume of coffee it can hold using the formula for the volume of a cylinder: V = πr²h, where r is the radius and h is the height.

The radius of the mug is half of its diameter, which is 6 cm, so r = 3 cm. The height of the mug is 10 cm.

Substituting these values into the formula, we get:

V = π(3 cm)²(10 cm) V = π(9 cm²)(10 cm) V = 90π cm³

Rounding this to the nearest tenth gives:

V ≈ 282.7 cm³

Therefore, the coffee mug can hold approximately 282.7 cm³ of coffee when filled to the top.

Answer: 282.7 (rounded to the nearest tenth)

User Kit
by
9.0k points
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