Geometry B Unit 4

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where V is volume and r is the radius.

Front

How do you calculate the volume of a cylinder?

Back

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

Front

What is a cross section?

Back

A cross section is the intersection of a solid and a plane, showing a two-dimensional shape.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

V = π(3)²(5) = 45π cm³, approximately 141.37 cm³.

Front

Define a semi-circle.

Back

A semi-circle is half of a circle, formed by cutting a whole circle along its diameter.

Front

What is the area of a circle?

Back

A = πr², where A is area and r is the radius.

Front

How do you find the radius of a sphere given its volume?

Back

Use the formula r = (3V/(4π))^(1/3).

Front

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

Back

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

Front

What is the formula for the area of a rectangle?

Back

A = length × width.

Front

How do you calculate the area of a trapezoid?

Back

A = (1/2)(b1 + b2)h, where b1 and b2 are the lengths of the two bases and h is the height.