Volume of 3D shapes

Cylinders

100

What is the formula for a cylinder?

What is V = pi * r² * h

200

What is the volume of a cylinder with a radius of 7in and a height of 10in? Round to the nearest tenth. 

What is 1539.4 in³

300

What is the volume of a cylinder with a diameter of 10 and height of 4? Round to the nearest whole number

What is 314 units³

400

What is the volume of a cylinder if the radius is 6 and the height is 10? Leave your answer in terms of pi.

360pi  units³

500

What is the volume of a bean can that is 8 centimeters in diameter and 11 centimeters high? Round to the nearest hundredth. 

552.92 cm³

Cones

100

what is the formula for a cone?

What is V = 1/3(pi* r² *h)

200

What is the volume of a cone with a radius of 12ft and a height of 24 feet? Round to the nearest tenth. 

3,619.1 ft³

300

What is the volume of a cone with a diameter of 20cm and a height of 5 cm? Round to the nearest cubic centimeter.

524 cm³

400

What is the volume of a cone if the radius is 7 and the height is 9? Leave your answer in terms of pi. 

147pi units³

500

An ice cream cone is 8 cm across and 14 cm tall. How much cubic centimeters can this cone hold? Round to the nearest tenth of a cubic centimeter.  

234.6 cm³

Mixed

100

What is a general definition of "Volume"

The amount of space something takes up

or the amount that something can hold

200

When calculating volume, what does the "r" stand for?

radius

300

If given the diameter of a circle, how do you find the radius?

Take half the diameter

or Multiply the diameter by 1/2

or Divide the diameter by 2

400

If a sphere has a radius of 10, what is the diameter?

What is 20

500

I want to find the volume of a triangular pyramid. What formula would I use?

V= 1/3Bh

or V = 1/3 (1/2 b h) h

Prisms

100

What is the volume formula for prisms?

What is V = Bh

200

What is the volume of a rectangular prism with a side length of 10km and 4km, with a height of 8km?

What is 320 km³ 

300

What is the volume of a triangular prism with a base and height of the triangle as 4 and 5, and the height of the prism as 8?

80 units³

400

What is the volume of a rectangular prism with a length, width, and height of 3, 7, and 12?  

252 units³

500

You want to fill up a fish tank with water. The shape of the tank is a rectangular prism with lengths of 4ft, 2ft, and 3ft. How much water do we need to fill up the tank halfway?

12 ft³

Spheres

100

What is the formula for a sphere?

What is V = (4/3)*pi*r³

200

What is the volume of a sphere with a radius of 4cm? Round to the nearest tenth. 

268.1 cm³

300

What is the volume of a sphere with a diameter of 10ft? Round to the nearest cubic foot. 

524 ft³

400

What is the volume of a sphere with a radius of 3in? Leave your answer in terms of pi. 

36pi  in³

500

A basketball has a diameter of 12cm. What is the exact amount of air we can fill in the basketball? (Leave in terms of pi).

288pi cm³