Answer: B. 2,448π units³
Step-by-step explanation:
We will use the formula for the volume of a cylinder to solve.
(<em>The formula, put simplify, finds the area of the base circle and multiples by the height.</em>)
V = πr²h
V = π(12)²(17)
V = (144)(17)π
V = 2,448π
The volume is 2,448π units³ which is option B for your problem.
Answer:
The answer is
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(1,-4) and (3,-1)
The slope is
We have the final answer as
Hope this helps you
Answer:
Length: 23.38
Width: 3.34
Step-by-step explanation:
First I drew out a diagram so that I could visibly see the problem. [ a rectangle with 7x on one side and x on the other.
So to find the area you multiply length time width and 7x times x is 7x^2. The actual area is given: 78, so you set that equal to 7x^2.
Then you want to divide by 7 to get 11.14. Then you want to take the square root of 11.14 to get 3.338 which rounds to 3.34 {try not to round until the very end]. This gives you the width of the rectangle, so to find the length you would have to multiply x by 7 to get 23.38. When you multiply the length and width (3.34 x 23.38) you get 78.08 which can round to 78.
7x^2 = 78
x^2 = 78/7
x^2= 11.142...
x = sqrt(1.142...)
x = 3.338 --> 3.34 --> width
3.34 x 7 --> 23.38 --> length
3.34 x 23.38 --> 70.8
9514 1404 393
Answer:
D. 640 m³
Step-by-step explanation:
The height CD of the cone is found using the Pythagorean theorem.
BC² + CD² = BD²
8² + CD² = 17²
CD = √(289 -64) = 15
The volume of the cylinder is ...
V = πr²h
The volume of the cone is ...
V = 1/3πr²h
So, the portion of the cylinder not occupied by the cone is ...
V = (πr²h) -(1/3πr²h) = (2/3)πr²h
V = 2/3(π)(8 m)²(15 m) = 640π m² . . . . . matches choice D
Step-by-step explanation:
=a+b+5 this is the answer
