Answer:

Step-by-step explanation:
we know that
The volume of a cylinder is equal to

where
r is the radius of the base of the cylinder
h is the height of the cylinder
we have

substitute the given values in the formula

<span>Direct proof. A direct proof is a way of establishing the truth or falsehood of a given mathematical statement by a combination of established facts, usually axioms, lemmas and theorems. It assumes the hypothesis of a conjecture is true and then uses a series of logical deductions to prove that the conclusion as well.</span>
Volume of this is 25920 inches cubed
Slant height of tetrahedron is=6.53cm
Volume of the tetrahedron is=60.35
Given:
Length of each edge a=8cm
To find:
Slant height and volume of the tetrahedron
<u>Step by Step Explanation:
</u>
Solution;
Formula for calculating slant height is given as
Slant height=
Where a= length of each edge
Slant height=
=
=
=6.53cm
Similarly formula used for calculating volume is given as
Volume of the tetrahedron=
Substitute the value of a in above equation we get
Volume=
=
=
Volume=
=60.35
Result:
Thus the slant height and volume of tetrahedron are 6.53cm and 60.35