At work, Chad is designing a product proiſtype. Part of the product is a cylinder with a volume of 48 n cubic inches and a radius of 2 inches. When he presented the prototype to the company, they
decided the cylinder should have a volume of 72 cubic inches.
Based on this information, how much height will he need to add the original cylinder?

For a right cylinder, volume=π(radius)2(height). Since the volume of water is 36 cubic inches and since this represents 21 the container, the is occupying 21 the container's height, or 9(21)=4.5 inches. Let r be the radius of the cylinder.

36=πr2(4.5)

8=πr2 divide both sides by 4.5

π8=r2 divide both sides by π

π8=r take the square root of both sides

π22=r simplify the 8 to get the radius

Then, since the diameter is twice the length of the radius, the diameter equals

2(π22)=4pi2=4π2.

all three statements are true

step-by-step explanation:

a shipping fee of 5% is charged online with every item purchased online

first let's just take each option and calculate them based on this, to see if the answers matched

keith buys a 40 dollar book

40 x 0.05 = 2

therefore there will be a two dollar fee on keith's book

40 + 2 =42

the first statement is true

a chair costs $80

80 x 0.05 = 4

80 + 4 = 84

the second statement is true

george buys a 20 dollar calculator

20 x 0.05 = 1

20 + 1 = 21

the third statements are true

all three statements are true

step-by-step explanation:

to determine whether a given function is even, we simply substitute x with -x in the expression. if the result after simplification is identical to the original equation, then the function is said to be even other wise odd.

f(-x) = (-x)^2 - (-x) + 8

      = x^2 + x +8

the resulting function is not identical to the original one;

f(-x) ≠ f(x)

therefore, f(x) is not an even function