Find the volume of a cylinder im tears of pi?
2 answers:
Answer: cubic millimeters
We can write this as 637.5pi cubic millimeters
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Explanation:
Plug the radius r = 5 and the height h = 25.5 into the cylinder volume formula below.
Despite having a decimal coefficient, this volume expression is exact in terms of pi.
Use something like pi = 3.14 to find the corresponding approximate volume.
The units for the volume are in cubic millimeters which we can abbreviate as mm^3 or . Think of a cube that's 1 mm by 1 mm by 1 mm.
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Answer:
Area of the shaded region = 3.46 square units
Step-by-step explanation:
Measure of the interior angle of a regular polygon =
From the picture attached,
Number of sides of the given polygon 'n' = 6
Interior angle (∠BAF) of the given polygon =
= 120°
Measure of ∠BAC =
= 30°
Now we apply sine rule in ΔAGB,
sin(30°) =
=
BG = AB[sin(30°)]
=
= 1
By applying cosine rule in ΔABG,
cos(30°) =
=
AG = AB[cos(30°)]
=
=
AC = 2(AG)
= 2√3
Area of ΔABC =
=
=
=
Area of the shaded region = Area of ΔABC + Area of ΔFED
= 2(Area of ΔABC)
= 2√3
= 3.46 square units
<u>Given</u>:
The measure of angle EFG is
The measure of arc GE is
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the inscribed angle theorem.
Thus, we have;
Substituting the values, we have,
Hence, the value of x is 8.
Therefore, Option B is the correct answer.
Volume of a figure is measure of the space it occupies. The volume of the larger rectangular prism is given as: Option C: 1620 cm³
If a rectangular prism has dimensions <u>a</u> unit, <u>b</u> unit, and <u>c</u> units, then its volume is given as
They are scaled. It means, if two figures are similar, then we can get one figure from another by multiplying some constant value(same for one pair of similar figure) to its dimensions.
For example,
if for given case, one rectangular prism has got dimensions a, b, and c centimetres, then
the second rectangular prism, which is similar, let the scale factor is 'd',t then second prism's dimensions will be a x d units, b x d units, and c x d units.
For first prism(smaller), its one side is given to be 5 cm, let its other two sides be 'b' cm, and 'c' cm, then,
Now, the larger prism has 15 cm corresponding side, thus, scale factor was 3 (since 15 is 3 times 5).
Thus, its dimensions would be 15, 3 x b, 3 x c
Thus, its volume would be
Thus,
The volume of the larger rectangular prism is given as: Option C: 1620 cm³
Learn more about volume of rectangular prism here: