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You give only two values for the dimensions, so it must be a cylinder with a radius r=230/2 mm= 115 mm= 11.5 cm
and a height of h= 450 mm =45 cm
The volume for your right circular cylinder is V=PI*(r^2)*h=PI*(11.5^2)*45 cm^3=?
Divide the result by 1000 to convert the volume to liters (1 L =1000 mL=1000 cm^3)
The two pentagons are similar. If k is the scale factor for the lengths, the ratio of the areas is k^2.
Pent 1 side =12 cm
Pent 2 side =140/5 =28 cm
Scale factor (larger over smaller) is k=28/12=7/3
Area of Pent_2= (49/9)*Area of Pent_1
Your answer should be C.
volume is calculated by finding the area multiplied by the length or height . That is Pi X radius squared X length
example --tube 6"dia 12"long what is the volume?
Example 3.1417 X radius 3" Squared =3.1417X9sq " = 28.2740sq" X length 12" =338.688 cubic"
If you want the volume of an engine cylinder , it is the same formula and the length is the stroke of the piston ( distance from TDC to BDC )
When you have to deal with problems of this sort, you usually are given recipes or mathematical formulas which you apply to find the result. It so happens that for the volumes of cylinders, the formula to use is Volume = Area of the base times the height=Ab*h If the cylinder is circular, then the area of the base is that of a disk, Ab=PI*r^2`where r is the radius. In your case, you are given the diameter (twice the radius) and the height. Volume =PI*h*(6.2/2)^2, the unit being cm^2
To type in the value of PI, press [2nd] [^] (the latter is key under CLEAR, and above the division sign. To raise a number to power 2 (to square it), use the key marked x with a superscript 2, or x with a raised 2. After you have typed in all necessary ingredients in the formula, press the [ENTER] key and the calculator will give you the result.