Unit 4 review (PT and Volume)

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

How do you find the length of the diagonal in a rectangular field?

Back

Use the Pythagorean theorem: d = √(length² + width²).

Front

What is the diameter of a circle?

Back

The diameter is the distance across the circle through its center, equal to twice the radius.

Front

What is the relationship between radius and diameter?

Back

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

Front

How do you calculate the volume of a cylinder?

Back

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

Front

What is the height of a cone if the volume is known?

Back

Rearrange the volume formula: h = (3V)/(πr²).

Front

What is the significance of the guide wire length for a sapling?

Back

It provides stability to the sapling during its initial growth period.

Front

How do you find the diagonal of a three-dimensional figure?

Back

Use the formula: d = √(length² + width² + height²).

Front

What is the formula for the volume of a cylinder with a diameter of 9 inches and height of 32 inches?

Back

V = π(4.5)²(32).

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.