A cone that has volume 1026.25mm^3 and height 20mm. Find the radius of the cone
2 answers:
Answer:
r = 7 mm
Step-by-step explanation:
given:
A cone that has volume 1026.25mm^3 and height 20mm.
Find:
the radius of the cone
solution:
volume of a cone = 1/3 π r² h
where
vol = 1026.25 mm³
h = 20 mm
plugin values into the formula:
vol. = 1/3 π r² h
1026.25 = 1/3 π r² (20)
r² = <u> 1026.25 </u>
1/3 π (20)
r =
r = 7 mm
therefore,
the radius of the cone = 7 mm
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Answer:
because they are opposite sides of a parallelogram.
Step-by-step explanation:
First of all, let us have a look at the definition of a parallelogram.
<em>A parallelogram is a closed 4 sided figure (i.e. a quadrilateral) made up with two pairs of straight lines such that the two pairs are parallel and equal to each other.</em>
<em></em>
For example, let us consider a quadrilateral ABCD as attached in the diagram in answer area.
The two pair of lines are:
AB, DC and BC, AD
For ABCD to be a parallelogram, the lines
AB and DC must be parallel to each other and AB = DC
AND
BC and AD must be parallel to each other and BC = DA
------------------------------
In the given question, we are given that the quadrilateral MNOP is a parallelogram.
The two pairs opposite lines are OP, NM and PM, ON.
As per the definition of a parallelogram,
OP and NM must be <em>parallel and equal </em>to each other.
AND
PM and ON must be <em>parallel and equal </em>to each other.
.
Hence proved.
