AP Biology - Unit 2 - Surface Area To Volume

Front

Why are cells small?

Back

So they can have a higher surface area to volume ratio.

Front

What is the formula for calculating the surface area of a sphere?

Back

Surface Area = 4πr², where r is the radius.

Front

What is the formula for calculating the volume of a sphere?

Back

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

Front

What happens to the surface area to volume ratio as a cell grows larger?

Back

The surface area to volume ratio decreases.

Front

Why is a higher surface area to volume ratio beneficial for cells?

Back

It allows for more efficient exchange of materials with the environment.

Front

Calculate the surface area of a basketball with a radius of 15 cm.

Back

Surface Area = 4π(15 cm)² = 706.5 cm².

Front

Calculate the volume of a globe with a radius of 11 inches.

Back

Volume = (4/3)π(11 in)³ = 5,575 in³.

Front

What is the significance of the surface area to volume ratio in biological systems?

Back

It affects the rate of diffusion and the efficiency of cellular processes.

Front

If a cell doubles in size, how does its volume change compared to its surface area?

Back

Volume increases by 8 times, while surface area increases by 4 times.

Front

What is the area of a circle with a radius of 7 m?

Back

Area = π(7 m)² = 153.94 m².