Volume of Cylinders and Cones

This video tutorial explains how to calculate the volume of cylinders, cones, and spheres using mathematical formulas. It covers the use of pi in these calculations and demonstrates how to substitute approximate values for pi to find volumes to the nearest whole number. The tutorial also includes examples of finding unknown dimensions, such as radius and height, when given the volume.

What is the formula for the volume of a cylinder?

• V = 4/3πr³

• V = 1/3πr²h

• V = πr²h

• V = 2πrh

If the volume of a cylinder is 16π cm³, what is the volume when π is approximated as 3.14?

• 50 cm³

• 16 cm³

• 50.24 cm³

• 48 cm³

What is the formula for the volume of a cone?

• V = 4/3πr³

• V = 1/3πr²h

• V = πr²h

• V = 2πrh

If the volume of a cone is 12π cm³, what is the volume when π is approximated as 3.14?

• 38 cm³

• 12 cm³

• 40 cm³

• 37.68 cm³

What is the formula for the volume of a sphere?

• V = 4/3πr³

• V = πr²h

• V = 2πrh

• V = 1/3πr²h

If the volume of a sphere is 8π cm³, what is the volume when π is approximated as 3.14?

• 24 cm³

• 25.12 cm³

• 8 cm³

• 25 cm³

How do you find the radius of a cylinder if the volume is given?

• Use the formula V = 1/3πr²h

• Use the formula V = πr²h and solve for r

• Use the formula V = 4/3πr³

• Use the formula V = 2πrh

What is the approximate radius of a cylinder with a volume of 121 cm³ and height of 5 cm?

• 5 cm

• 2.78 cm

• 3.5 cm

• 7 cm

How do you find the height of a cone if the volume is given?

• Use the formula V = 2πrh

• Use the formula V = 1/3πr²h and solve for h

• Use the formula V = 4/3πr³

• Use the formula V = πr²h

What is the approximate height of a cone with a volume of 145 cm³ and radius of 3.5 cm?

• 11.31 cm

• 10 cm

• 9 cm

• 12 cm