1. The volume of a cylinder can be calculated using the formula V = πr²h, where r is the radius and h is the height. Substituting the given values, we get V = π(3dm)²(15dm) = 135π cubic dm, or approximately 424.11 cubic dm.
2. The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is half of the diameter. Substituting the given values, we get r = 6m/2 = 3m, and V = (1/3)π(3m)²(20m) = 60π cubic m, or approximately 188.5 cubic m.
3. The volume of a sphere can be calculated using the formula V = (4/3)πr³, where r is half of the diameter. Substituting the given values, we get r = 9m/2 = 4.5m, and V = (4/3)π(4.5m)³ = 305.25π cubic m, or approximately 3816.77 cubic m.
4. The volume of a sphere can be calculated using the formula V = (4/3)πr³. Substituting the given value, we get V = (4/3)π(3m)³ = 36π cubic m, or approximately 113.1 cubic m.
Answers & Comments
Answer:
1. The volume of a cylinder can be calculated using the formula V = πr²h, where r is the radius and h is the height. Substituting the given values, we get V = π(3dm)²(15dm) = 135π cubic dm, or approximately 424.11 cubic dm.
2. The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is half of the diameter. Substituting the given values, we get r = 6m/2 = 3m, and V = (1/3)π(3m)²(20m) = 60π cubic m, or approximately 188.5 cubic m.
3. The volume of a sphere can be calculated using the formula V = (4/3)πr³, where r is half of the diameter. Substituting the given values, we get r = 9m/2 = 4.5m, and V = (4/3)π(4.5m)³ = 305.25π cubic m, or approximately 3816.77 cubic m.
4. The volume of a sphere can be calculated using the formula V = (4/3)πr³. Substituting the given value, we get V = (4/3)π(3m)³ = 36π cubic m, or approximately 113.1 cubic m.