Find the volume of a cylinder with a diameter of 6 inches and a height that is three times the radius. use pi on your calculator (not 3.14) and round your answer to the nearest hundredth. (hint: you may only enter numerals, decimal points, and negative signs in the answer blank) (4 points)
The volume of a cylinder is given by the formula:
The given cylinder has diameter 6. This means that, the radius is
The is height is
We substitute the values into the formula to obtain;
The volume is to the nearest hundredth
V = 254.47 inches³
We have given the diameter of cylinder and relation of height and radius of cylinder.
Let d ,r and h denotes the diameter,radius and height of the cylinder respectively.
d = 6 inches and h = 3r
We have to find the volume of the cylinder.
V = ?
The formula to find volume of cylinder is:
V = πr²h
The formula to find radius while diameter is given:
r = d / 2
r = 6 / 2 = 3 inches
h = 3r
h = 3(3) = 9 inches
Putting above values in formula , we have
V = π(3)²(9)
V = 81 π
V = 254.47 inches³ which is the answer.
4. without a picture it is just a shot 390 mm3
2. If the diameter is 6, then the radius is 6 ÷ 2 = 3, which also means the height is 3 × 3 = 9. To find the volume, we first need the area of its base circle, and we get this by doing π × radius^2 = π × 3^2 = 9π. Because they want us to use 3.14 as π, you do 9 × 3.14 = 28.26. We figured out the height earlier, so now all you do is 28.26 × 9 = 254.34
I hope this helps!
volume = 254.3 inches³
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
From the information given,
Diameter = 6 inches
Radius = diameter/2 = 6/2 = 3 inches
Height = 3 × radius = 3 × 3 = 9 inches
Volume = 3.14 × 3² × 9
Volume = 254.3 inches³ to the nearest tenth
01 C = 10π inches; A = 25π square inches
01) Since the Circumference formula and Circle area formula is given by the following formulas we have:
D= 2r D =10'' then R=5''
02) The Volume of a Cylinder is given by calculating the Base Area times the Height.
D=2R 6 then Radius is equal to 3. h=3R h=9
254.34 cubic inches.
03) The volume of a cone is 1/3 of the volume of a cylinder.
Then the volume of the soda can (cylinder) is 36. And the Diameter is twice the Radius.
Firstly let's find out the height of the cylinder (soda can)
The Volume of Cone is one third of the Cylinder volume.
Similarly to the Cylinder and the Cone, the Prism and the Pyramid has the 1/3 proportion when it comes to Volume relation.
So the Volume of cube a kind of prism.
Volume of a cylinder is V=pi*r^2*h
Since r=6/2=3, and h=3r=3*3=9, then we solve for V:
So the volume of the cylinder is 254.34 in^3
answer is 55
The volume is 254.34
If the cylinder has a diameter of 6 inches, then its radius would be 3 inches.
To know what the height of the cylinder is, the problem tells us that the height is three times the radius. 3 times 3 inches would be 9 inches.
Now we know that
r = 3 inches
h = 9 inches.
The formula to know the volume of a cylinder is:
V = πr²h
V = π(3)²(9)
V = π (9)(9)
V = 81π
V = 81 (3.14)
V = 254.34
Volume of a Cylinder
Volume of the cylinder is 28.26 in³
Cylinder is defined as a three dimensional geometric figure with straight parallel sides and a circular or oval cross section.
The volume of the cylinder is defined as
where r is radius of the base of the cylinder and h is the height of the cylinder
Given diameter d = 6 in
So the radius r = = = 3 in
Given the height is three times the radius
so the height h = = = 1 in
so h = 1 in
V = 3.14 × 3² × 1
= 3.14 × 9
= 28.26 in³
Hence the Volume of the cylinder is 28.26 in³