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3 years ago

a cone has a volume of 1,570in3. If the height of the cone is 15 inches. Calculate the radius of the cone?

Mathematics

1 answer:

spin [16.1K]3 years ago

5 0

Answer:

approximately 10

Step-by-step explanation:

Volume = 1/3h times $\pi$ times radius square

1570 = 1/3 x 15 x 22/7 x $r^{2}$

1570 = 5 times $\frac{22}{7}$ times $r^{2}$

1570 = 15.71 $r^{2}$

$\frac{1570}{15.71}$ = $\frac{15.71 r^{2}}{15.71}$

99.9 = r^2

$\sqrt{99.9}$ = r

≅10

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A pine cone drops from a tree branch that is 36 feet above the ground. The function h = –16t2 + 36 is used. If the height h of t

scoray [572]

Notice that the height of the pine cone when it hits the ground is zero. So, to find the tame it takes for the pine cone to hit the ground, we just need to replace the height, $h$ , with 0 in the function, and solve for time $t$ :
$h=-16t^2+36$
$0=-16t^2+36$
$-36=-16t^2$
$t^2= \frac{-36}{-16}$
$t^2= \frac{9}{4}$
$t=(+/-) \sqrt{ \frac{9}{4} }$
$t=(+/-) \frac{3}{2}$
$t=(+/-)1.5$
Since time cannot be negative, the solution is $t=1.5$ seconds.

Since 1.5 second is significantly less than 2 seconds, we can conclude that 2 seconds is not a reasonable answer to this model.

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3 years ago

Read 2 more answers

A 10-foot board is to be cut into 3 pieces. Two of the pieces will be the same length and one piece will be 2 feet longer than t

ira [324]

Answer:

Step-by-step explanation:

According to the given statement two pieces are of same length:

If the length of one piece is x,

Then the length of other piece is also x.

And one piece is 2 feet longer than the other two = x+2

Total length of a board = 10 foot

Now make the equation from these terms:

x+x+x+2= 10

This is the equation of the given question.

You can further solve this equation:

x+x+x+2=10

3x+2=10

Now combine the constants:

3x=10-2

3x=8

x=8/3

x=2.67

It means that the length of two pieces of same length is 2.67

And the length of one piece which is longer than the other two = x+2 = 2.67+2 = 4.67 ....

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4 years ago

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Answer:

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3 years ago

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1/3 x 1/3 x 1/3 = 1/27

16/3 divided by 1/27 is 144.

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