Leap Prep Practice

Front

What is the formula for the volume of a cylinder?

Back

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

Front

How do you calculate the volume of a square pyramid?

Back

Volume = (1/3) * base area * height, where base area = side² for a square base.

Front

What is the relationship between the diameters of two similar spheres and their drainage times?

Back

If the diameters are in the ratio d1:d2, the drainage times are in the ratio t2:t1, where t is the time taken to drain.

Front

How do you find the coordinates of a point that partitions a line segment in a given ratio?

Back

Use the formula P = ((x1 + k*x2)/(1+k), (y1 + k*y2)/(1+k)), where k is the ratio.

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Front

How do you calculate the area of a square?

Back

Area = side².

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3)πr²h, where r is the radius and h is the height.

Front

What is the concept of similar figures in geometry?

Back

Similar figures have the same shape but may differ in size; corresponding angles are equal and sides are in proportion.

Front

How do you find the midpoint of a line segment between two points A(x1, y1) and B(x2, y2)?

Back

Midpoint M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the formula for the area of a triangle?

Back

Area = (1/2) * base * height.