Answer:
height of the cone = 4.01273885 units
Step-by-step explanation:
Volume of a cone(V) is given by:
....[1]
where,
r is the radius and h is the height of the cone.
As per the statement:
A cone with radius 5 units and ts volume is 105 cubic units
⇒r = 5 units and V = 105 cubic units
Substitute these given values and use
in [1] we have;
![105 = \frac{1}{3} \cdot 3.14 \cdot 5^2 \cdot h](https://tex.z-dn.net/?f=105%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Ccdot%203.14%20%5Ccdot%205%5E2%20%5Ccdot%20h)
Multiply both sides by 3 we have;
⇒![315 = 78.5 \cdot h](https://tex.z-dn.net/?f=315%20%3D%2078.5%20%5Ccdot%20h)
Divide both sides by 78.5 we have;
![4.01273885 = h](https://tex.z-dn.net/?f=4.01273885%20%3D%20h)
or
h = 4.01273885 units
Therefore, the height of the cone is, 4.01273885 units
Answer:
36
Step-by-step explanation:
By the Fundamental Counting Principle, if there are x ways to choose one thing, y ways to choose another thing, and z ways to choose another thing, then there are x*y*z possible combinations of all of those things.
Here, there are 3 ways to choose a shift, 4 ways to choose a pair of pants, and 3 ways to choose a tie. Therefore, there are 3*4*3 = 36 different outfits that Gerald can make that include one shirt, pair of pants, and tie.
Whenever we need to prove something, our first step is to write the given statements and then the second step is to write what we have to prove.
So out of the given two options, the correct option is the first option, that is , given .
Best Answer: <span> w1•d1 = w2•d2
150•`15 = 300 d2
2250 = 300 d2
d2 = 2250 ÷ 300 = 7.5 ft </span>