Answer:
Volume of the cone =
Step-by-step explanation:
Height of the cone =
Radius of the cone =
Volume of a cone is:
As,
Volume is:
The volume of the cone is:
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1 answer:
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For any right triangle, we can use the Pythagorean Theorem. The Pythagorean Theorem states that for any right triangle, the legs when squared and added together will be equal to the hypotenuse squared.
In mathematical notation:
Where the variables a and b are the legs and the variable c is the hypotenuse.
Because we know the two side lengths of the triangle, we can solve for the unknown side.
We know the length of one of the legs and the hypotenuse.
Plug in the values.
So, the square root of 476 is the unknown length.
In mathematical notation:
Where the variables a and b are the legs and the variable c is the hypotenuse.
Because we know the two side lengths of the triangle, we can solve for the unknown side.
We know the length of one of the legs and the hypotenuse.
Plug in the values.
So, the square root of 476 is the unknown length.
Option B: and
, so
is supplementary to both
and
, so EFGH is a parallelogram.
Option C: so EFGH is a parallelogram.
Option D: so EFGH is a parallelogram.
Explanation:
Option A: and
so
is supplementary to both
and
, so EFGH is a parallelogram
Let us substitute and
in
,
and
to determine the exact measures the angles of the parallelogram.
Substituting, we get, ,
Thus, because the measures of these angles are not equal.
Hence, Option A is not the correct answer.
Option B: and
, so
is supplementary to both
and
, so EFGH is a parallelogram.
Let us substitute and
in
,
and
to determine the exact measures the angles of the parallelogram.
Thus, substituting, we have, ,
Hence, Option B is the correct answer.
Option C: so EFGH is a parallelogram.
To determine the angles, let us substitute in
and
Thus,
Since, the opposite angles of a parallelogram are equal, EFGH is a parallelogram.
Hence, Option C is the correct answer.
Option D: so EFGH is a parallelogram.
Let us substitute and
in
,
and
to determine the exact measures the angles of the parallelogram.
Substituting, we have, ,
Adding the angles E and G, we have,
By the property of parallelogram, any two adjacent angles add upto 180.
Thus, the adjacent angles E and G add upto 180.
Hence, Option D is the correct answer.