The number line below represents which combined inequality?

tennis balls with a diameter of 2.5in are sold in cans of three. the can is a cylender. what is the volume of the area not occup

mina [271]

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 = $\frac{2.5}{2}=1.25$

Height of can = $2.5\times 3=7.5$

The volume of sphere is

$V=\dfrac{4}{3}\pi r^3$

where, r is radius of sphere.

The volume of a tennis balls is

$V=\dfrac{4}{3}\pi (1.25)^3$

$V=8.18123$

$V\approx 8.18$

Volume of three tennis balls is

$V_1=3\times 8.18=24.54$

The volume of cylinder is

$V=\pi r^2h$

The volume of can is

$V_2=\pi (1.25)^2(7.5)$

$V_2=36.81553$

$V_2\approx 36.82$

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.

3 0

4 years ago

The area of a rectangular flower bed is 24 square feet. The perimeter of the same flower bed is 22 feet. What are the dimensions

Ray Of Light [21]

ANSWER

B. 3 ft by 8 ft

EXPLANATION

The area is given as 24 square feet.

This implies that,

$l \times w = 24$

The perimeter of the rectangular field is given as 22 feet.

This implies that,

$2(l + w) = 22$

Or

$l + w = 11$

We make w the subject in this last equation and put it inside the first equation.

$w = 11 - l$

When we substitute into the first equation we get;

$l(11 - l) = 24$

$11l - {l}^{2} = 24$

This implies that,

${l}^{2} - 11l + 24 = 0$

$(l - 3)(l - 8) = 24$

$l = 3 \: or \: 8$

When l=3, w=24

Therefore the dimension is 3 ft by 8 ft

3 0

3 years ago

Read 2 more answers

Tim is building a bridge for his model railroad. He has 3 sections to fit together to fit together form the bridge span. The pie

Sergio [31]

4.5 + 4.5 + 4.5 = 13.5

5 0

3 years ago

Suppose you start at the origin, move along the x-axis a distance of 4 units in the positive direction, and then move downward a

Zanzabum

Answer:

(4,0,-5)

Step-by-step explanation:

Since we move 4 points along +ve x-axis so, x coordinate is 4

We did not move any point along y-axis so y coordinate is 0

we moved 5 points along -ve z-axis so z coordinate is -5

so our position is (x,y,z) = (4,0,-5)

3 0

3 years ago

A zookeeper measured the length of 5 snakes at the zoo he recorded the results in a table. what is the main snake length?

Y_Kistochka [10]

I'm 90% sure the answer is twenty-six cm.

7 0

4 years ago

Read 2 more answers