To calculate the volume of a sphere, you use the formula V = (4/3)πr^3.
For the dodge ball with radius r, the volume would be V_dodge = (4/3)πr^3.
For the tennis ball with radius 0.3r, the volume would be V_tennis = (4/3)π(0.3r)^3.
To find the approximate difference in volume between the dodge ball and the tennis ball, we subtract the volume of the tennis ball from the volume of the dodge ball:
V_diff = V_dodge - V_tennis
V_diff = (4/3)πr^3 - (4/3)π(0.3r)^3
V_diff = (4/3)πr^3 - (4/3)π(0.027r^3)
V_diff = (4/3)πr^3 - (4/3)π(0.027)r^3
V_diff = (4/3)πr^3 - (0.108)πr^3
V_diff = (1 - 0.108)(4/3)πr^3
V_diff = (0.892)(4/3)πr^3
V_diff = (1.189)πr^3
Therefore, the approximate difference in volume between the dodge ball and the tennis ball is 1.189πr^3 or approximately 0.036πr^3.
So the answer is:
Ο B. 0.036 г
A spherical dodge ball has a radius r and a tennis ball has a radius 0.3r. What is the approximate difference in volume between the dodge ball and the tennis ball?
Ο Α. 0.027 πг³
Ο Β. 0.036 г
• С. 1.297 г³
Ο
D. 1.333 г³
1 answer