Question: ACTIVITY: Direction: Solve each problem. Show your complete solution and write your final answer on your Math Notebook with the correct cubic unit. 1. A sphere has a radius of 3 cm. Find its volume. 2. A sphere has a radius of 5 m. Find its volume. 3. A sphere has a diameter of 12 cm. Find its volume. 4. A spherical ball has a diameter of 8 m. Calculate its volume. 5. A sphere has a radius of 7 cm. Find its volume. Graph/shape: center, a dark gray rounded-rectangle touchpad popup overlaps the middle of the page with a white square icon inside and the text "Touchpad Enabled"; no math graph is present.Im pretty sure you divide it by three after all multipying them. Give all correct solution

1. **Problem 1:** Find the volume of a sphere with radius $r=3$ cm. 2. **Formula:** The volume $V$ of a sphere is given by $$V=\frac{4}{3}\pi r^3$$ 3. **Step 1:** Substitute $r=3$ cm into the formula: $$V=\frac{4}{3}\pi (3)^3$$ 4. **Step 2:** Calculate the cube: $$3^3=27$$ 5. **Step 3:** Substitute back: $$V=\frac{4}{3}\pi \times 27$$ 6. **Step 4:** Simplify by canceling 3: $$V=4\pi \times \cancel{\frac{27}{3}}=4\pi \times 9=36\pi$$ 7. **Step 5:** Approximate using $\pi \approx 3.1416$: $$V \approx 36 \times 3.1416=113.10$$ 8. **Answer 1:** The volume is approximately $113.10$ cubic centimeters. --- 9. **Problem 2:** Find the volume of a sphere with radius $r=5$ m. 10. **Step 1:** Substitute $r=5$ m: $$V=\frac{4}{3}\pi (5)^3$$ 11. **Step 2:** Calculate the cube: $$5^3=125$$ 12. **Step 3:** Substitute back: $$V=\frac{4}{3}\pi \times 125$$ 13. **Step 4:** Simplify by canceling 3: $$V=4\pi \times \cancel{\frac{125}{3}}$$ Since 125 is not divisible by 3, keep fraction: $$V=\frac{500}{3}\pi$$ 14. **Step 5:** Approximate: $$V \approx \frac{500}{3} \times 3.1416 = 523.60$$ 15. **Answer 2:** The volume is approximately $523.60$ cubic meters. --- 16. **Problem 3:** Find the volume of a sphere with diameter $d=12$ cm. 17. **Step 1:** Radius $r=\frac{d}{2}=\frac{12}{2}=6$ cm. 18. **Step 2:** Substitute $r=6$ cm: $$V=\frac{4}{3}\pi (6)^3$$ 19. **Step 3:** Calculate the cube: $$6^3=216$$ 20. **Step 4:** Substitute back: $$V=\frac{4}{3}\pi \times 216$$ 21. **Step 5:** Simplify by canceling 3: $$V=4\pi \times \cancel{\frac{216}{3}}=4\pi \times 72=288\pi$$ 22. **Step 6:** Approximate: $$V \approx 288 \times 3.1416=904.78$$ 23. **Answer 3:** The volume is approximately $904.78$ cubic centimeters. --- 24. **Problem 4:** Find the volume of a sphere with diameter $d=8$ m. 25. **Step 1:** Radius $r=\frac{d}{2}=\frac{8}{2}=4$ m. 26. **Step 2:** Substitute $r=4$ m: $$V=\frac{4}{3}\pi (4)^3$$ 27. **Step 3:** Calculate the cube: $$4^3=64$$ 28. **Step 4:** Substitute back: $$V=\frac{4}{3}\pi \times 64$$ 29. **Step 5:** Simplify by canceling 3: $$V=4\pi \times \cancel{\frac{64}{3}}$$ Since 64 is not divisible by 3, keep fraction: $$V=\frac{256}{3}\pi$$ 30. **Step 6:** Approximate: $$V \approx \frac{256}{3} \times 3.1416=268.08$$ 31. **Answer 4:** The volume is approximately $268.08$ cubic meters. --- 32. **Problem 5:** Find the volume of a sphere with radius $r=7$ cm. 33. **Step 1:** Substitute $r=7$ cm: $$V=\frac{4}{3}\pi (7)^3$$ 34. **Step 2:** Calculate the cube: $$7^3=343$$ 35. **Step 3:** Substitute back: $$V=\frac{4}{3}\pi \times 343$$ 36. **Step 4:** Simplify by canceling 3: $$V=4\pi \times \cancel{\frac{343}{3}}$$ Since 343 is not divisible by 3, keep fraction: $$V=\frac{1372}{3}\pi$$ 37. **Step 5:** Approximate: $$V \approx \frac{1372}{3} \times 3.1416=1436.76$$ 38. **Answer 5:** The volume is approximately $1436.76$ cubic centimeters.