Answer:
approximately .41 per pound
Step-by-step explanation:
you would just need to divided 11 by 27 to get the total amount per pound and that would give you a decimal and you just round.
We know the following:
Cylinder volume: V₁ = π r² h
Ball (sphere) volume:V₂ =
π r³
where:
V - volume
r - radius of base of cylinder and diameter of ball
h - height of cylinder.
R = 13 cm ⇒ r = 13 ÷ 2 = 6.5
π = 3.14
a) Since balls touch all sides of cylinder (as shown in image), it can be concluded that height of cylinder is equal to sum of diameters of 3 balls and that radius of base of cylinder is equal to radius of ball:
h = 3 × r = 3 × 13 cm = 39 cm
r = 6.5 cm
So,
V₁ = <span>π r² h
</span><span>V₁ = </span>3.14 × (6.5 cm)² × 39 cm
V₁ = 5,173.9 cm³
b. The total volume of three balls is the sum of volumes of each ball:
Vₐ = 3 × <span>V₂
</span>Vₐ = 3 × <span>
π r³
</span>Vₐ = 3 ×
3.14<span> (6.5 cm)³</span>
Vₐ = 3,449.3 cm³
c. Percentage of the volume of the container occupied by three balls ould be expressed as ratio of volume of three balls and volume of cylinder:
V =
×100
V =
×100
V = 0.6666 ×100
V = 66.66%
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but let's help out by giving some values to the question.
Let's say there are 230 students in a school. This number is 15% more than it was last year. Calculate the number of students last year.
Let the number of students last year be x.
Since there's a 15% increase, this implies that (100% + 15%) = 115% of x equals to 230. This will be:
115% of x = 230
115% × x = 230
115/100 × x = 230
1.15x = 230
x = 230/1.15
x = 200
There were 200 students last year.
Just assign the missing values and use the above method and you'll get your answer.
Answer: C (-7/18)
Step-by-step explanation: you flip the denominator and numerator and keep the negative