A cylinder has a radius of 1 m and a height of 3 m cylinder b has a radius of 3 m and a height of 3 m what is the ratio of the value of the cylinder a to volume of the cylinder b
A.1:1
B.1:3
C.1:9
D.3:1
The volume of cylinder A is π(1^2)(3) = 3π cubic meters. The volume of cylinder B is π(3^2)(3) = 27π cubic meters. Therefore, the ratio of the volume of cylinder A to cylinder B is:
3π : 27π
Which simplifies to:
1:9
So the answer is C. 1:9.
What is the volume of the oblique cone shown round the answer to the nearest tenth the diagram is not drawing the scale
30 in radius 21 in
Without a diagram, it's unclear exactly what shape is being referred to. However, assuming the base of the oblique cone is a circle with a radius of 30 inches, and the height of the cone (measured along a line from the apex perpendicular to the base) is 21 inches, we can calculate the volume of the cone using the formula:
V = (1/3)πr^2h
Substituting the given values, we get:
V = (1/3)π(30^2)(21)
V = (1/3)(900π)(21)
V = 63000π/3
V ≈ 20944.22 cubic inches
Rounding to the nearest tenth gives:
V ≈ 20944.2 cubic inches
So the volume of the oblique cone is approximately 20944.2 cubic inches.
To find the ratio of the volume of cylinder A to the volume of cylinder B, we need to compare the volumes of the two cylinders.
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
For Cylinder A:
Radius (r) = 1 m
Height (h) = 3 m
Volume (V) = π(1^2)(3) = 3π
For Cylinder B:
Radius (r) = 3 m
Height (h) = 3 m
Volume (V) = π(3^2)(3) = 27π
Now, we can calculate the ratio of the volume of Cylinder A to the volume of Cylinder B:
Ratio = Volume of Cylinder A : Volume of Cylinder B
= (3π) : (27π)
= 1 : 9
Therefore, the ratio of the volume of Cylinder A to the volume of Cylinder B is 1:9. Hence, the correct option is C. 1:9.