Question

Task 3: Answer all questions to the task. Be sure to include formulas for finding each volume and show how you substitute the numbers into the formula.
Total points: 10 points

Answer 1

First lets find the volume of the scoop of ice cream...So we know that it has a radius of 3.5 cm....Now the volume of a sphere is represented by this formula...

\(\Huge{V=\frac{4}{3} \pi r^{3}}\)

Since we already known of the radius we would just input it....

\(\Huge\color{green}{V=\frac{4}{3} \pi (3.5^{3})}\)

What would be the volume of the ice cream?

Answer 2

1346.275

Answer 3

@563blackghost

Answer 4

am i right

Answer 5

Not quite.

\(\Huge{V=\frac{4\times(3.14) \times 42.875}{3}}\)

Answer 6

i forgot to divide

Answer 7

179.50

Answer 8

Correct ^^

So the volume of the scoop of ice cream is \(\Large{179.5 cm^{3}}\)

~~~~~~~~~~~

Now that we found out the volume of the scoop of ice cream we would find the volume of the cone....so the formula for the volume of the cone is...

\(\Huge{V=\frac{1}{3} \pi r^{2} h}\)

So we know that the height is 10cm and that the radius is 3cm so we input...

\(\Huge\color{orange}{V=\frac{1}{3} (3.14)(3^{2})(10)}\)

What is the volume of the cone?

Answer 9

847.8

Answer 10

Not quite.

\(\Huge{V=\frac{3.14 \times 9 \times 10}{3}}\)

Answer 11

94.2

Answer 12

You got it ^^

So now that we now both volumes lets compare them....

The volume of the cone is \(\LARGE{94.2 cm^{3}}\)....

The volume of the scoop of ice cream \(\LARGE{179.5cm^{3}}\).....

Which is larger the volume of the cone or the volume of the scoop of ice cream?

Answer 13

scoop

Answer 14

Correct ^^ So that would mean that the cone will not hold the scoop of ice cream because the volume is greater.

Answer 15

thx so much i owe u one

Answer 16

np ^^ Im glad I was helpful. If you ever need help in the future and see me on just tag me in your question :D

P.S I love the show NARUTO ^^

Answer 17

^-^ @563blackghost thx