Volume of Pyramids, Cones, and Spheres

The volume of a cone with a radius of 6 cm and a height of 10 cm is

• $30\pi\ cm^3$

• $40\pi\ cm^3$

• $120\pi\ cm^3$

• $360\pi\ cm^3$

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The volume of a sphere with a radius of 3 cm is:

• $9\pi\ cm^3$

• $12\pi\ cm^3$

• $36\pi\ cm^3$

• $72\pi\ cm^3$

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The volume of a regular hexagonal pyramid with a base edge of 4 inches and a height of 8 inches is:

• $256\sqrt{3}\ in^3$

• $192\sqrt{3}\ in^3$

• $128\sqrt{3}\ in^3$

• $64\sqrt{3}\ in^3$

The volume of a sphere with a diameter of 12 feet would be:

• $2304\pi\ ft^3$

• $288\pi\ ft^3$

• $144\pi\ ft^3$

• $72\pi\ ft^3$

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If the surface area of a sphere ( $SA=4\pi r^2$ ) is  $324\pi\ in^2,$  then the volume is: 

•  $27\pi\ in^3$  

•  $108\pi\ in^3$  

•  $243\pi\ in^3$  

•  $972\pi\ in^3$  

True or False: The volume of a square based pyramid with a base edge of 1 cm and a pyramid height of 2 cm is $\frac{2}{3}cm^3.$  

• True

• False

True/False: A sphere with radius of 1 foot with have a volume of $1\pi\ ft^3.$  

• True

• False

True/False: A sphere with radius of  $\pi$  cm will have a volume of  $\frac{4}{3}\pi^4\ cm^3$ . 

• True

• False

What is the volume of the square based pyramid? 
 $V=$  ______________ $cm^3$  

What is the volume of the triangular based pyramid?
 $V=$  ______________ $cm^3$  

Tags

CCSS.HSG.GMD.A.3