Volume Question

Question

If the paper cone is completely full of ice what is the total volume of the Sno-Cone? Give a decimal approximation using 3.14 for π and rounding to the nearest tenth. 

 

NOTE: The diameter of both the sphere and the cone is 6cm, the height of the cone is 10cm, and the total volume only involves the volume of the cone and half the sphere.

A. 207.24 cm³

B. 94.2 cm³

C. 150.72 cm³

D. 56.52 cm³

Answer 1

The formula for the volume of a cone is 1/3 pir^2. The radius of the cone is 3. The volume of the cone is 94.2.

The formula for the sphere is 4/3pi r^3. Then divide the answer by 2. When you add the volume of the cone and hemisphere, the answer is C.

Answer 2

First, draw a diagram and write what you know. Then, write what you want to find out and "tools" (also known as equations) you can use.

The volume of the snow cone will equal (the volume of the cone) + (the volume of half the sphere)

[imagine a snow cone, it has the cone full of ice and more ice on top!]

See here for full work and answer: https://drive.google.com/file/d/11A-Xcq8yocWIPuyBPmmgfeGE1T1QDkw0/view?usp=sharing

Answer 3

To get the volume of a cone the formula is bh; or r^2*pi*h/3.