Sid is packing crushed ice into a cone-shaped cup. the cone has a height of 5 in. its base has a diameter of 4 in. what is the volume of the cone?

Volume of cone  =  20.94  in³.

Step-by-step explanation:

Given : The cone has a height of 5 in. Its base has a diameter of 4 in.

To find :  What is the volume of the cone?

Solution : We have given

Height of cone = 5 in.

Diameter = 4 in.

Radius = 2 in.

Volume of cone  = .

Volume of cone  =  .

Volume of cone  = 3.14 * 4 * 1.33 in³.

Volume of cone   =  20.94  in³.

Therefore, Volume of cone  =    20.94  in³.

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.

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: