All categories

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

You might be interested in

In physics, if a moving object has a starting position at so, an initial velocity of vo, and a constant acceleration a, the

emmasim [6.3K]

Answer:

$a=\frac{2S -2v_ot-2s_o}{t^2}$

Step-by-step explanation:

We have the equation of the position of the object

$S = \frac{1}{2}at ^2 + v_ot+s_o$

We need to solve the equation for the variable a

$S = \frac{1}{2}at ^2 + v_ot+s_o$

Subtract $s_0$ and $v_0t$ on both sides of the equality

$S -v_ot-s_o = \frac{1}{2}at ^2 + v_ot+s_o - v_ot- s_o$

$S -v_ot-s_o = \frac{1}{2}at ^2$

multiply by 2 on both sides of equality

$2S -2v_ot-2s_o = 2*\frac{1}{2}at ^2$

$2S -2v_ot-2s_o =at ^2$

Divide between $t ^ 2$ on both sides of the equation

$\frac{2S -2v_ot-2s_o}{t^2} =a\frac{t^2}{t^2}$

Finally

$a=\frac{2S -2v_ot-2s_o}{t^2}$

5 0

3 years ago

you invest $2800 in an account that pays an interest of 5.5%, compounded continuously. calculate the balance of your account aft

LuckyWell [14K]

Hi, hope this helps you. Have a good day. :)

Answer:

A = $5,417.42 (balance of the account)

I = $2,617.42

5 0

3 years ago

Read 2 more answers

Randy and Susie Moser are newlyweds. Randy drives their car to his job, twenty-seven miles away from home, each day. If Randy an

Andrews [41]

The answer is $834.10

3 0

3 years ago

Read 2 more answers

Which set of ordered pairs represents a function?

Lemur [1.5K]

It would be D, because to be a function, a set of ordered pairs cannot have the same x value. The y value can be the same though.
(5,6), (8,6), (9,6)
As you can see, all of the x values are different, so it is a function.

6 0

3 years ago

Read 2 more answers

Explain how you would find 47×7/9 mentally

erastova [34]

So you move left to right like PEMDAS when it comes to adding or subtracting either or could go first and same thing applies with multiplying and dividing so for instance in this case

47*7=329
_
329/9=36.5

3 0

3 years ago