Surface area and Volume of cones and composites

Front

What is the formula for the volume of a cone?

Back

V = (1/3)πr²h, where r is the radius and h is the height.

Front

What is the formula for the surface area of a cone?

Back

SA = πr(r + l), where r is the radius and l is the slant height.

Front

What is the volume of a pyramid?

Back

V = (1/3)Bh, where B is the area of the base and h is the height.

Front

How do you find the volume of a composite shape?

Back

Calculate the volume of each individual shape and then sum them up.

Front

What is the relationship between surface area and volume?

Back

Surface area measures the total area of the surface, while volume measures the space inside the shape.

Front

If a cone has a radius of 3 cm and a height of 4 cm, what is its volume?

Back

V = (1/3)π(3)²(4) = 12π cm³.

Front

If a cone has a slant height of 5 cm and a radius of 3 cm, what is its surface area?

Back

SA = π(3)(3 + 5) = 24π cm².

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where r is the radius and h is the height.

Front

What is the formula for the surface area of a cylinder?

Back

SA = 2πrh + 2πr², where r is the radius and h is the height.

Front

How do you convert the volume of a cone from cubic centimeters to liters?

Back

1 liter = 1000 cm³, so divide the volume in cm³ by 1000.