Calculating Volume and Surface Area of a Cone

What equation is used to find the slant height of a cone?

• l = r + h

• l^2 = r^2 + h^2

• l = 2 * pi * r

• l^2 = r * h

What is the formula for the volume of a cone?

• Volume = 2 * pi * r * h

• Volume = 1/3 * pi * r^2 * h

• Volume = pi * r^2

• Volume = pi * r^2 * h

If the radius of a cone is halved, how does it affect the volume of the cone?

• The volume is halved

• The volume is quartered

• The volume is reduced to one-eighth

• The volume remains the same

How do you calculate the lateral area of a cone?

• Lateral Area = pi * r^2

• Lateral Area = pi * r * l

• Lateral Area = 2 * pi * r * h

• Lateral Area = pi * r * (r + l)

What is the surface area of a cone?

• Surface Area = pi * r * (r + h)

• Surface Area = 2 * pi * r * (r + h)

• Surface Area = pi * r^2 + 2 * pi * r * l

• Surface Area = pi * r^2 + pi * r * l

What is the formula to calculate the area of the base of a cone?

• Area = pi * r * h

• Area = pi * (r + h)

• Area = 2 * pi * r

• Area = pi * r^2

If a cone has a radius of 5 cm and a height of 12 cm, what is its volume?

• 60 pi cm^3

• 100 pi cm^3

• 150 pi cm^3

• 200 pi cm^3

How is the height of a cone calculated using the slant height and radius?

• Adding the slant height to the radius

• Dividing the slant height by the radius

• Multiplying the slant height by the radius

• Using the Pythagorean theorem

Given a cone with a radius of 7 inches and a slant height of 25 inches, what is its lateral area?

• 150 pi square inches

• 225 pi square inches

• 200 pi square inches

• 175 pi square inches

For a cone with a diameter of 12 feet and a slant height of 10 feet, what is the surface area?

• 150 pi square feet

• 120 pi square feet

• 96 pi square feet

• 180 pi square feet