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3 years ago

A cone has a volume of 301.44 cubic yards and a radius of 6 yards. What is its height?

Mathematics

1 answer:

alexira [117]3 years ago

3 0

Answer:

h≅ 8 yards

Step-by-step explanation:

Given data

Volume of cone= 301.44 cubic yards

Radius of cone= 6 yards

Required

The Height of the cone

The expression for the volume of a cone is given as

V= 1/3πr^2h

Substitute

301.44= 1/3* 3.142*6^2*h

301.44= 37.704*h

Divide both sides by 37.704

h= 301.44/37.704

h= 7.99

h≅ 8 yards

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3 years ago

ryan has a mix of action and sports games for a total of 39 video games his action collection is three more than half his sports

iVinArrow [24]

Answer:

He have 15 action games and 24 sports games.

Step-by-step explanation:

Given:

Ryan has a mix of action and sports games for a total of 39 video games his action collection is three more than half his sports collection.

Now, to find the number of action games and sports games.

Let the sports games be $x.$

As, given his action collection is three more than half his sports collection.

Thus, the action games = $3+\frac{x}{2}$ .

Total number of video games = 39.

So, we set an equation to get the number of action games and sports games:

$x+(3+\frac{x}{2})=39$

$x+3+\frac{x}{2} =39$

Subtracting both sides by 3 we get:

$x+\frac{x}{2} =36$

$\frac{2x+x}{2}=36$

$\frac{3x}{2} =36$

Multiplying both sides by 2 we get:

$3x=72$

Dividing both sides by 3 we get:

$x=24.$

The sports games he have = 24.

Now, to get the action games we substitute the value of $x$ :

$3+\frac{x}{2}$

= $3+\frac{24}{2}$

= $3+12$

= $15.$

The action games he have = 15.

Therefore, he have 15 action games and 24 sports games.

6 0

3 years ago