Answer:
The volume of the area not occupied by the tennis balls is 12.28 cubic inches.
Step-by-step explanation:
It is given that tennis balls with a diameter of 2.5in are sold in cans of three. the can is a cylinder.
Radius of ball = Radius of can = 
Height of can = 
The volume of sphere is
where, r is radius of sphere.
The volume of a tennis balls is
Volume of three tennis balls is
The volume of cylinder is
The volume of can is
The volume of the area not occupied by the tennis balls is
Volume = Volume of cylinder - Volume of three tennis balls
= 36.82 - 24.54 = 12.28 inches
Therefore, the volume of the area not occupied by the tennis balls is 12.28 cubic inches.
Answer:
x=13
Step-by-step explanation:
9^2 * 27^3 = 3^x
We need to get each term with a base of 3
9^2 = (3^2) ^2
We know that a^b^c = a^(b*c)
(3^2) ^2 = 3^(2+2) = 3^4
27^3 = (3^3) ^3 = 3^(3*3) = 3^9
Replacing these in the original equation
3^4 * 3^9 = 3^x
We know that a^b *a^c = a^(b+c)
3^4 * 3^9 =3^(4+9) = 3^13 = 3^x
The bases are the same, so the exponents must be the same
x=13
miles= 30 × hours
use this equation to fill out the graph and find out what y (miles traveled) equals.
for example, multiply 5 (the hours passed) by 30. Your answer would be 150, which is the miles the biker would travel in 5 hours.
Answer:
Part A: Let c = the cost of each candy bar
3 + 8c = 43
8c = 40
Part B: c = $5.00
Step-by-step explanation:
Answer:
$20
Step-by-step explanation:
15/3=5 which means that for every guest attending Carla's retirement party it must cost her $5 each.
Therefore if 4 guests come to the party it must mean 4(5) which is 20.
Hence $20
