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wolverine [178]
3 years ago
9

The diagram shows the dimensions of a teepee. Find the volume of the building to the nearest cubic unit. Use 3.14 for pi.

Mathematics
1 answer:
LekaFEV [45]3 years ago
7 0
The volume of a cone uses the following formula:

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

Our diameter is 20 feet, so divide this by 2 to find the radius:

20 \div 2 = 10

We now have all of our values need to fill in the formula. Plug in these values:

\pi = 3.14, r = 10, h = 17

3.14 * 10^{2} *  \frac{17}{3}

3.14 * 100 * 5.67

314 * 5.67 = 1780.38

The volume of the cone is 1780 cubic feet.
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A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is h(t) = -16t2 + 6
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b) The maximum height of the ball will be found where t=-b/(2a) = -63/-32 = 1.96875.

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c) The ball will hit the ground when its height is zero.

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The ball will hit the ground after 4 seconds.

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