Volume and surface area of cones

Front

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

Back

The surface area (SA) of a cone is given by the formula: SA = πr(r + l), where r is the radius and l is the slant height.

Front

What is the formula for the volume of a cone?

Back

The volume (V) of a cone is given by the formula: V = (1/3)πr²h, where r is the radius and h is the height.

Front

Calculate the surface area of a cone with a slant height of 10 and a radius of 6.

Back

The surface area is 301.44.

Front

Calculate the surface area of a cone with a slant height of 8 and a diameter of 8.

Back

The surface area is 150.72.

Front

What is the relationship between the radius and diameter of a cone?

Back

The diameter (d) is twice the radius (r): d = 2r.

Front

If a cone has a height of 10 and a radius of 4, what is its volume?

Back

The volume is 167.46 cm³.

Front

What is the slant height of a cone?

Back

The slant height (l) is the distance from the base of the cone to the apex along the side.

Front

How do you find the radius if you know the diameter of a cone?

Back

To find the radius, divide the diameter by 2: r = d/2.

Front

What is the surface area of a cone with a radius of 5 and a slant height of 12?

Back

The surface area is approximately 132.73.

Front

What is the volume of a cone with a height of 6 and a radius of 3?

Back

The volume is 56.55 cm³.