⓵ To calculate the volume of a right circular cylinder, the formula is π times the radius of the circular base² time the height of the cylinder.
⓶ Now that we know that the equation to calculate the volume of a right circular cylinder is :
V = π x (r²) x h
You need to find the numbers to replace the volume (V) and the height (h) in the formula.
We already know that the volume is 320 square feet and that the height is 20 feet.
So we are left with a formula looking like this :
320 = π x (r²) x 20
⓷ Now we need to find the radius of the circular base! To do so, you need to solve this equation and isolate the “r”. Start by simplifying the right side :
320 = π x (r²) x 20
÷20 ÷20
↓
16 = π x r²
÷π ÷π
↓
5,09 ⋍ r²
√ √
↓
2,26 feet ⋍ r
⓸ Now that we knoe the value of the radius of the circular base, all there’s left to do is multiply this number by two in order to find the diameter of the water tank :
2,26 x 2 = d
↓
4,51 feet ⋍ d
So your final answer is : the diameter of the water tank is about 4,51 feet.
** Since I devided by “π”, all the answers I wrote from that point are rounded to the nearest hundredths just to make things easier to visualize, but I kept all of the decimals when doing the calculations. So it is possible that your answer might differ slightly from mine if you use the rounded numbers to calculate everything. Just keep that in mind!
I hope this helped, if there’s anything just let me know! ☻
When you divide two fractions, you're actually multiplying one of them by the reciprocal of the other. First, find the reciprocal of the second fraction by flipping it upside down. Then, multiply it by the first fraction. (Numerator x numerator and denominator x denominator)
÷
Replace the second fraction with it's reciprocal
x
Multiply (-7 x 3 and 12 x 2)
Both 21 and 24 are divisible by three, so divide them by 3
Answer:
The correct answer is B
Step-by-step explanation:
First, the question said that the shoes were $15 less than double the price of his pants. In algebra 2p would mean 2 multiplied by p so we know that C and D are wrong. Now $15 less than 2p would mean you have to subtract by 15, so now we have 2p-15. Since we haven't added in the amount of money the pair of pants cost, we have to use addition to add it in, and that adds to the equation making the equation 2p - 15 + p. So, the answer is B.
Answer:
denotes amount of food that Felicity's dog eats
Step-by-step explanation:
Given:
Felicity's dog eats no more than two cups of dog food per day.
Felicity's dog eats at least one-quarter cup more than one-half of the amount Martin's dog eats.
The amount of food that Martin's dog eats is represented by using 
To find: the inequality that represents the situation
Solution:
Amount of food that Martin's dog eats =
Amount of food that Felicity's dog eats ≤ 2
Also,
Amount of food that Felicity's dog eats 
Therefore,
Amount of food that Felicity's dog eats ≤ 2
Let denotes amount of food that Felicity's dog eats.
≤
Answer:
Option C. 6 square units
Step-by-step explanation:
we know that
Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.
Let
a,b,c be the lengths of the sides of a triangle.
The area is given by:
where
p is half the perimeter
p=
we have
Triangle ABC has vertices at A(-2,1), B(-2,-3), and C(1,-2)
the formula to calculate the distance between two points is equal to
step 1
Find the distance AB
step 2
Find the distance BC
step 3
Find the distance AC
step 4
Find the half perimeter p
p=
Find the area
