Answer: 4in
Step-by-step explanation:
Volume of a cylinder = πR²H
Volume of a cone = 1/3πr²h
πR²H = 1/3πr²h
π is very common so it could be cancelled, so the equation now becomes
R²H = 1/3r²h
3R²H = r²h
Now substitute for the values
h = 3 x 2² x 3
--------------
3²
= 9 x 4/9
= 4in.
Therefore, the height of the cone
h = 4in.
1.
Use this rule: √ab = √a√b
√12√x^2
Simplify √12 to 2√3
2√3√x^2
Simplify √x^2 to x
2√3x^2
3.
Multiply the numerator and denominator by the conjugate.
2√x/x
Our expression is below
by solving it for the value of k
Check the picture below.
make sure your calculator is in Degree mode.
The pythagorean theorem works for all right triangles. Just make sure it IS a right triangle.
