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siniylev [52]
3 years ago
6

A cone-shaped tent has a diameter of 12 ft and a height of 6 ft.

Mathematics
2 answers:
mestny [16]3 years ago
7 0
Here's the formula for the volume of a cone:

V=\frac{1}{3}\pi\ r^2h

Plug in 3.14 for \pi.
Plug in 6 for the height h.
Our radius is half of our diameter. r=6.

V\approx\frac13\times3.14\times6^2\times6

6² = 6 × 6 = 36.
Now we just multiply together 1/3, 3.14, 36, and 6 to get...

V\approx226.08

Rounding to the nearest tenth...

\boxed{V\approx226.1\ ft^3}
Kryger [21]3 years ago
7 0
Cone formula: 1/3(\pi r^{2} h)
     
Step 1(Fill in formula): 1/3((3.14)(6^{2})(6))
Step 2 (Solve): 1/3((3.14)(36)(6))
Step 3 (Solve): 1/3(678.24)
Step 4 (Complete) : 226.08ft³
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The least common multiple of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers?
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Step One - List the factors of 60.
Step Two - Locate the factors that are seven apart from each other.

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60 - 1 = 59
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Charlotte is driving at 52.7 mi/h and receives a text message. She looks down at her phone and takes her eyes off the road for 4
likoan [24]

Answer:

  385.7 ft

Step-by-step explanation:

The relation between speed, distance, and time is ...

  distance = speed × time

<h3>Compatible units</h3>

The speed is given in miles per hour, but the time is given in seconds and the distance is wanted in feet. This suggests a conversion of speed to feet per second is appropriate.

  \dfrac{52.7\text{ mi}}{\text{h}}\times\dfrac{1\text{ h}}{3600\text{ s}}\times\dfrac{5280\text{ ft}}{1\text{ mi}}=\dfrac{52.7\cdot22\text{ ft}}{15\text{ s}}=77.29\overline{3}\text{ ft/s}

<h3>Distance</h3>

The distance traveled is the product of this speed and the time period.

  \dfrac{77.29\overline{3}\text{ ft}}{1\text{ s}}\times4.99\text{ s}=385.6937\overline{3}\text{ ft}\approx\boxed{385.7\text{ ft}}

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