A cone with a radius of 12 cm and a height of 12 cm has the same volume as a cylinder with a radius of 8 cm. What is the height of the cylinder?

Height(h) of the cylinder is:  

Step-by-step explanation:

Height(H) of cone = 12 cm

Radius(R) of the cone =12 cm

Radius(r) of the cylinder=8 cm

Height(h) of the cylinder=?

Volume of the cone=Volume of the cylinder

Dividing by '' both sides:

Putting the values in the formula:

Dividing by '64' both sides:

The height(h) of the cylinder is :  

c. 65°

step-by-step explanation:

we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.

we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:

x + 62° + 53° = 180°

solving to find the value of x:

x = 180 - (62 + 53) = 65°

therefore, the value of x in this triangle is 65°.

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2