Helpmeeeeeeeeee please

The radius of the cone is 1.75 inches, and its height is 3.5 inches. If the diameter of the bubble gum ball is 0.5 inches, what

julia-pushkina [17]

Answer:

=11.155 in³

Step-by-step explanation:

Given data:

Radius= 1.75 inches

Height = 3.5 inches

Diameter= 0.5 inches

To find the volume of a cone we will apply the formula:

Volume of a cone = 1/3 πr²h

Substitute the values:

V= 1/3* 3.14 *(1.75)² * 3.5

V=1/3 *3.14*(3.0625)* 3.5

V= 33.66/3

V=11.22 in³

Now find the volume of the bubble gum:

Volume of bubble gum = 4/3 π*r³

Substitute the values:

V= 4/3*3.14*(0.5/2)³

V=4/3*3.14(0.25)³

V=4/3*3.14(0.015625)

V=0.19625/3

V=0.0654 in³

Now subtract the volume of bubble gum ball from the volume of a cone

=11.22 - 0.0654

=11.155 in³

Thus the closest approximation of the volume of the cone that can be filled with flavored ice is 11.155 in³....

6 0

3 years ago

Which is greater 2 2/3, 2.45, 2 2/5

timofeeve [1]

This is least to greatest

2 2/5 or 2.40

2.45

2 2/3

2 2/5 , 2.45 , 2 2/3

7 0

3 years ago

Read 2 more answers

Divide to find equivalent fractions 40/100=10/10

Aleks04 [339]

Answer:

4/10=1

Step-by-step explanation:

Divide both fractions by 10 and you get 4/10=1

6 0

3 years ago

A bicycle that normally sells for $180 is on sale for 40% off. What is the

Kitty [74]

Answer:

$108 i think

Step-by-step explanation:

5 0

3 years ago

Write and solve a system of equations: Vanessa and Geneva worked together to buy a pair of tickets ($240 total) to the Green Day

Goshia [24]

Answer:

The systems of equation are $\left \{ {{v+g=21} \atop {10v+12g=240}} \right.$ .

Vanessa worked for 6 hrs and Geneva worked for 15 hrs to earn exactly $240.

Step-by-step explanation:

Let the number of hours worked by Vanessa be 'v'.

Let the number of hours worked by Geneva be 'g'.

Given:

Total number of hours worked = 21 hours

So we can say that;

Total number of hours worked is equal to sum of number of hours worked by Vanessa and number of hours worked by Geneva.

framing in equation form we get;

$v+g=21$ ⇒ equation 1

Also given:

per hour earnings of Vanessa = $10

per hour earning of Geneva = $12

Total they need to earn = $240

So we can say that;

Total they need to earn would be equal to sum of per hour earnings of Vanessa multiplied by number of hours worked by Vanessa and per hour earning of Geneva multiplied by number of hours worked by Geneva.

framing in equation form we get;

$10v+12g =240$ ⇒ equation 2

Hence The systems of equation are $\left \{ {{v+g=21} \atop {10v+12g=240}} \right.$ .

On Solving above equations we get;

First we will multiply equation 1 by 10 we get;

$10(v+g)=21\times10$

$10v+10g =210$ ⇒ equation 3

Now Subtracting equation 3 from equation 2 we get;

$10v+12g -(10v+10g)=240-210\\\\10v+12g-10v-10g=30\\\\2g =15$

Dividing both side by 2 we get;

$\frac{2g}{2}=\frac{30}{2}\\\\g =15\ hrs$

Now Substituting the value of g in equation 1 we get;

$v+g=21\\\\v+15=21\\\\v=21-15 =6\ hrs$

Hence Vanessa worked for 6 hrs and Geneva worked for 15 hrs to earn exactly $240.

7 0

3 years ago