1.

A cone has a base radius of 8cm and slant height of 12 cm. Calculate the vertical heigh

Answer»

Answer:

h=6

Step-by-step EXPLANATION:







A cone has a base radius of 8 cm and a slant HEIGHT of 10 cm. How do you calculate the VOLUME of the cone?

Geometry

1 Answer



smendyka

Dec 24, 2017

See a solution PROCESS below:

Explanation:



First, we must find the height of the cone using the pythagorean Theorem. The Pythagorean Theorem states:

a2+b2=c2 where c is the hypotenuse of a right triangle.

In this case:

h2+r2=l2 or, substituting:

h2+82=102

h2+64=100

h2+64−64=100−64

h2+0=36

h2=36

√h2=√36

h=6

The formula for the volume of a cone is:

V=πr2h3

Substituting the radius from the problem and the the height we calculated gives:

V=π×(8CM)2×6cm3

V=π×64cm2×2cm

V=128πcm³


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