What is the volume of the given shape? leave answer in terms of π.

Volume of a cone = (PI * radius^2 * height) / 3

Volume of a cone = (PI * 3^2 * 8) / 3

Volume of a cone = (PI * 24)

Cylinder Volume = PI • r² • height

Cylinder Volume = PI * 3^3 * 12

Cylinder Volume = PI * 108

TOTAL Volume = PI * 132

m∠a is 90°

m∠b is 40°

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: