Find the volume in cm³ of a length of pipe which has these measurements. Volume of a cylinder = πr²h π = 3.14.
2 answers:
Answer:
The volume (V) of a cylinder is calculated by the formula:
....[1]
Here, r denotes the cylinder's radius, and h is its height.
From the image provided:
The pipe's diameter (d) = 10 cm
The length (height) of the pipe (h) = 2 m
Convert units:
Since 1 m = 100 cm, then
2 m = 200 cm
So, h = 200 cm
Because the pipe resembles a cylinder,
we must find its volume.
Recall that:
Thus,
Dividing both sides by 2 yields;
5 = r
or
r = 5 cm
Plug the values into equation [1] and use π = 3.14:
Simplifying gives:
Hence, the volume of the pipe is 15,700 cm³.
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Answer:
The gluten content expressed in micrograms per milliliter is 13 µg/mL.
Step-by-step explanation:
Take into account the details given.
The gluten content of the product is specified as .
We now need to convert the gluten content to micrograms per milliliter.
For conversion from mg to micrograms, refer to the following facts:
1 mg equals 1000 micrograms.
1 L corresponds to 1000 milliliters.
Next, replace 1 mg = 1000 micrograms and 1 L = 1000 milliliters into the ratio provided above.
Consequently, the gluten ratio in micrograms per milliliter is 13 µg/mL.
T<span>he area of a figure signifies the measure of space within a two-dimensional shape, typically expressed as square units based on the figure's dimensions.
For instance, with a shape having dimensions of k, its area can be given by
.
</span>
<span>Consider that one similar figure possesses an area nine times that of another.
As these figures are similar, their areas correspond to the proportionality of their dimensions.
Let the smaller shape's dimensions be k, while the larger is p times the dimensions of the smaller shape. The smaller shape's area is and the larger shape's area is 
.
Now, knowing the larger figure's area is nine times the area of the smaller figure, we have:
</span>
Thus, the dimensions of the larger figure must be 3 times those of the smaller figure.
For instance, with a shape having dimensions of k, its area can be given by
</span>
<span>Consider that one similar figure possesses an area nine times that of another.
As these figures are similar, their areas correspond to the proportionality of their dimensions.
Let the smaller shape's dimensions be k, while the larger is p times the dimensions of the smaller shape. The smaller shape's area is
Now, knowing the larger figure's area is nine times the area of the smaller figure, we have:
</span>
Thus, the dimensions of the larger figure must be 3 times those of the smaller figure.
Answer:
128
Step-by-step explanation:
Imagine you have two jars and seven marbles.
The result is .
That totals 128