MATHEMATICS HIGH SCHOOL

A party hat has a volume of 75 cubic inches . If the radius is 5 inches , what is the height of the party hat?

Answers

Answer 1

Answer:

The height of the party hat is 2.63 inches.

Given that,

A party hat has a volume of 75 cubic inches.

If the radius is 5 inches,

We have to determine,

What is the height of the party hat?

According to the question,

A party hat has a volume of 75 cubic inches.

If the radius is 5 inches,

The volume of the cone is determined by the formula,

$\rm v = \pi r^2(h)/(3)$

Then,

The height of the party hat is,

$\rm v = \pi r^2(h)/(3)\n\n75 = \pi* (5)^2 * (h)/(3)\n\n75 = 25 * (22)/(7) * (h)/(3)\n\n75 = 25 * 1.14 * h\n\n75 = 28.5 * h\n\nh = (75)/(28.5)\n\nh =2.63$

Hence, The height of the party hat is 2.63 inches.

For more details refer to the link given below.

brainly.com/question/743546

Answer 2

Answer:

Answer:

About 2.86 inches

Step-by-step explanation:

The formula for the volume of a cone is $\pi r^2(h)/(3)$ . Plugging the known numbers into this formula, you get:

$75=\pi \cdot 5^2\cdot (h)/(3)$

$(h)/(3)\approx 0.955$

$h\approx 2.86$ inches. Hope this helps!

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Answers

Answer:

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If a man travels p hours at an average rate of q miles per hour, and then r hours at an average rate of s miles per hour, what is his overall average rate of speed?

Answers

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