Answer:
4 pitches
Step-by-step explanation:
if a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. how many of these pitchers can a cylinder with height 9 inches and radius 2r fill? explain how you know.
Solution:
The volume of a cylinder is given by:
V = πr²h;
where V is the volume, r is the radius of the cylinder and h is the height of the cylinder.
A cylinder with height 9 inches and radius r can fill a certain pitcher. Therefore the volume of the cylinder is:
V = πr²h = πr²(9) = 9πr²
V = volume of pitcher = volume of cylinder with radius r = 9πr²
For a cylinder with height 9 inches and radius 2r its volume is:
V2 = πr²h = π(2r)²(9) = 36πr²
Therefore, the number of pitchers a cylinder with height 9 inches and radius 2r can fill is:
number of pitches = 36πr² / 9πr² = 4
Therefore a cylinder with height 9 inches and radius 2r can fill 4 pitches.
Answer:
the two numbers are 3 and 3.
1/5 of 3 is 0.6
1/5 of 6 is 1.2
Step-by-step explanation:
3 + 3 = 6
(1/5)3 = 0.6
(1/5)6 = 1.2
Answer:
16
Step-by-step explanation:
well, times means to multiply, so 8 times (x) 2 = 16
Answer: 6.7 mm
Step-by-step explanation:
The area of a square is equal to side(side), but is also equal to 1/2(apothem)(perimeter).
The apothem is the perpendicular distance from the center of the square to the midpoint of its side.
We can use these formulas to find the apothem and use the pythagorean theorem to find the hypotenuse (slant height).
Area of square = 9(9) = 81
Area of square = 1/2(apothem)(perimeter)
Perimeter = 4(9) = 36
81 = 1/2(apothem)(36)
162 = apothem(36)
apothem = 4.5
Pythagorean theorem: 
Plug the apothem and the given height into the equation:
(x being the slant height)
20.25 + 25 = 
x = 
x ≈ 6.7
Answer: it was probably more chocolaty because he added 5 teaspoons instead of 4 which is 2 doubled
Step-by-step explanation:
