Math CSA Circles, Volume and Surface Area of Cylinders

Suppose a can of paint has a diameter of 12 cm and a height of 20 cm. What is the volume of paint in the can? (to nearest whole number)

• 154 cm³

• 452 cm³

• 2261 cm³

• 9,043 cm³

Find the volume of a cylinder with a radius of 6 cm and a height of 12 cm. (Round to the nearest whole cm)

• 1356 cm³

• 113 cm³

• 136 cm³

• 4522 cm³

A thermos in the shape of a cylinder is filled with coffee. The height of the cylinder is 10 inches and its radius is 3 inches. To the nearest cubic inch, what is the volume of the coffee in the thermos?

• 28 in³

• 94 in³

• 126 in³

• 283 in³

If a plant manufacturing carpet backing has a cylindrical tank that is 4 meters high and is 8 meters in diameter, what is the volume of the tank? Assume 3.14 for pi.

• 12.6 m³

• 50.2 m³

• 100.4 m³

• 201.0 m³

A circular pool has a radius of 10 meters. Rounded to the nearest square meter, what is the area of the pool?

• 314 m²

• 79 m²

• 31 m²

• 16 m²

Which formula would you use to determine how much paint would be needed to paint the inside of a circular shape with a diameter of 5 feet on your bedroom wall? $\$  

• C =  $2\left(5\right)\pi$  
  

• C =  $2\left(2.5\right)\pi$  
  

• C =  $5^2\pi$  
  

• A =  $\left(2.5^2\right)\pi$  
  

Volume is expressed in ...

• pounds

• cubic units

• square units

• linear units

Using a compass, Jane draws a circle on her paper with a radius of 3.5 inches. What is the area of the circle?

• $10.49\ in^2$

• $38.465\ in^2$

• $21.98\ in^2$

• $153.86\ in^2$

Gale builds a circular pen in his yard for his dog. The pen has a radius of 13 ft. There is a law in Gale's town which states that all dogs must have at least 300 ft² of room in their pen. Does Gale's pen meet the standards?

• No. 40.82 ft²

• No. 81.64 ft²

• Yes 530.66 ft²

• Yes. 2122.64 ft²

Suppose a coffee cup has a diameter of 5 cm and a height of 7 cm. What is the volume of the cup? (to nearest whole number)

• 55 cm³

• 137 cm³

• 110 cm³

• 550 cm³