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: 6.05 units
Step-by-step explanation:
<em>Correct question is:</em>
<em>A cone with radius 3 units is shown below. Its volume is 57 cubic units. Find the height of the cone. Use 3.14 for pi and round your final answer to the nearest hundredth.</em>
Hi, to answer this question we have to apply the next formula:
Volume of a cone = 1/3 x π x radius^2 x height
Replacing with the values given:
57 = 1/3x 3.14 x (3)^2 (h)
Solving for h
57 = 1/3 x 3.14 x 9 (h)
57 =9.42h
57/9.42 =h
h= 6.05 units
Feel free to ask for more if needed or if you did not understand something.
Answer:
A = 24
Area for a triangle = 1/2 b * h
