Volume of a Cone

Front

What is the formula for the volume of a cone?

Back

V = ⅓ π r² h, where V is volume, r is radius, and h is height.

Front

If a cone has a radius of 3 cm and a height of 9 cm, what is its volume?

Back

V = ⅓ π (3)² (9) = 27π cm³ ≈ 84.82 cm³.

Front

What is the relationship between the volume of a cone and a cylinder with the same radius and height?

Back

The volume of the cone is 1/3 the volume of the cylinder.

Front

How do you calculate the volume of a cone using the base area?

Back

Volume (V) = ⅓ × Base Area (B) × Height (h).

Front

What is the approximate value of π used in calculations?

Back

π is approximately 3.14.

Front

Find the volume of a cone with a radius of 5 cm and a height of 12 cm. Round to the nearest tenth.

Back

V = ⅓ π (5)² (12) = 100π cm³ ≈ 314.2 cm³.

Front

What is the volume of a cone with a radius of 4 in and a height of 14 in?

Back

V = ⅓ π (4)² (14) = 234.5 in³.

Front

If the radius of a cone is doubled, how does the volume change?

Back

The volume increases by a factor of 4, since volume is proportional to the square of the radius.

Front

What is the volume of a cone with a radius of 7.5 cm and a height of 5 cm?

Back

V = ⅓ π (7.5)² (5) = 294.52 cm³.

Front

How do you round the volume of a cone to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up.