need help po, answer and solution
Answer:
1. 6930 cubic inches
2. 3162.4 cubic inches
3. 98.125 cubic cm
4. 9.42 cubic cm
5. 146.4 cubic meters
6. 231 cubic cm
7. 15 cubic cm
8. 480 cubic cm
9. 5020.9 cubic cm
10. 38792.4 cubic cm
【Explanation】
1. The volume of a cylinder is given by the formula V=πr²h. For a standard-size bass drum, the radius is half the diameter, so r=11 inches, and the height h=18 inches. Substituting these values into the formula gives V=π(11)²(18)=6930 cubic inches.
2. For a cylinder with diameter 12 inches and height 29 inches, the radius is 6 inches. Substituting these values into the formula gives V=π(6)²(29)=3162.4 cubic inches.
3. For a milk can in the shape of a cylinder with radius 2.5 cm and height 5 cm, the volume is V=π(2.5)²(5)=98.125 cubic cm.
4. For an ice cream cone with radius 1.5 cm and height 4 cm, the volume is V=π(1.5)²(4)/3=9.42 cubic cm.
5. For a cone-shaped mound with diameter 14 m and height 2 m, the volume is V=π(7)²(2)/3=146.4 cubic meters.
6. For a rectangular pyramid with altitude 24 cm and base 7 cm by 5.5 cm, the volume is V=(1/3)(7)(5.5)(24)=231 cubic cm.
7. For a regular square pyramid with edge 3 cm and height 5 cm, the volume is V=(1/3)(3)²(5)=15 cubic cm.
8. For a triangular pyramid with height 20 cm and each side of the base 12 cm, the volume is V=(1/3)(12)²(20)=480 cubic cm.
9. For a soccer ball with diameter 23 cm, the volume is V=π(11.5)³=5020.9 cubic cm.
10. For a globe with radius 21 cm, the volume is V=4/3π(21)³=38792.4 cubic cm.