KAP Final Exam REV

Front

What is the formula for the volume of a sphere?

Back

The volume V of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere.

Front

What is the volume of a sphere with a radius of 5 meters?

Back

Using the formula V = (4/3)πr³, the volume is V = (4/3)π(5)³ = 523.3 m³.

Front

What does it mean to reflect a point in the y-axis?

Back

Reflecting a point (x, y) in the y-axis results in the point (-x, y).

Front

If point C(2, 9) is reflected in the y-axis, what is the new point C'?

Back

The new point C' after reflection in the y-axis is C'(-2, 9).

Front

What is the volume of a rectangular prism with length 10 cm, width 5 cm, and height 4 cm?

Back

The volume V of a rectangular prism is given by V = length × width × height. So, V = 10 cm × 5 cm × 4 cm = 200 cm³.

Front

What is the formula for the volume of a cylinder?

Back

The volume V of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

Front

How do you find 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 of the base and h is the height.

Front

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

Back

The volume of a sphere is (2/3) the volume of a cylinder with the same radius and height.

Front

What is the formula for the area of a circle?

Back

The area A of a circle is given by the formula A = πr², where r is the radius.

Front

What is the difference between reflection and rotation in geometry?

Back

Reflection flips a shape over a line, while rotation turns a shape around a point.