1.Find the volume of a cube whose sides each measure 3.9. Round answer to the nearest tenth
2.Find the volume of an ellipsoid with a semi-major axis of length 9 and the first semi-minor axis has length of 5 while the second semi-minor axis has length of 4.5. Use ð = 3.14 and round your answer to the nearest tenth.
3. The volume of a cube is 3,944.312 cm3. Find the length of each side. Round your answer to the nearest tenth
4. Find the volume of a cylinder whose height is 5 in and whose radius of the base is 3.2 in.
1. V = (3.9)^3 = 59.3
2.
3. V = 3944.312cm^3.
L = crt(3944.312 = 15.8cm.
4. V = pi*r^2h = 3.14*(3.2)^2*5 = 160.8in^3.
1. To find the volume of a cube, we use the formula V = s^3, where s represents the length of a side.
Given that the length of each side is 3.9, substitute this value into the formula:
V = (3.9)^3
Calculating this, we get:
V ≈ 58.6
Therefore, the volume of the cube is approximately 58.6 cubic units (rounded to the nearest tenth).
2. The formula to find the volume of an ellipsoid is V = (4/3) * π * a * b * c, where a, b, and c represent the lengths of the semi-major axis, the first semi-minor axis, and the second semi-minor axis respectively.
Given that a = 9, b = 5, and c = 4.5, and using π = 3.14, substitute these values into the formula:
V = (4/3) * 3.14 * 9 * 5 * 4.5
Calculating this, we get:
V ≈ 849.42
Therefore, the volume of the ellipsoid is approximately 849.42 cubic units (rounded to the nearest tenth).
3. To find the length of each side of a cube, we can use the formula L = V^(1/3), where V represents the volume.
Given that the volume is 3,944.312 cm^3, substitute this value into the formula:
L = (3,944.312)^(1/3)
Calculating this, we get:
L ≈ 15.8
Therefore, the length of each side of the cube is approximately 15.8 cm (rounded to the nearest tenth).
4. The formula to find the volume of a cylinder is V = π * r^2 * h, where r represents the radius of the base and h represents the height.
Given that the height is 5 in and the radius is 3.2 in, and using π = 3.14, substitute these values into the formula:
V = 3.14 * (3.2)^2 * 5
Calculating this, we get:
V ≈ 161.28
Therefore, the volume of the cylinder is approximately 161.28 cubic inches.
To find the volume of a cube, you need to know the length of one side. The formula for the volume of a cube is V = s^3, where V is the volume and s is the length of one side.
1. Given that each side of the cube measures 3.9, you can substitute s = 3.9 into the formula: V = 3.9^3. Calculate the value: V ≈ 58.3. Rounded to the nearest tenth, the volume of the cube is 58.3.
To find the volume of an ellipsoid, you need the lengths of its semi-major axis and semi-minor axes. The formula for the volume of an ellipsoid is V = (4/3) * π * a * b * c, where V is the volume, π is a mathematical constant (approximately 3.14), and a, b, and c are the lengths of the three axes.
2. Given that the semi-major axis is 9, the first semi-minor axis is 5, and the second semi-minor axis is 4.5, you can substitute these values into the formula: V = (4/3) * 3.14 * 9 * 5 * 4.5. Calculate the value: V ≈ 848.7. Rounded to the nearest tenth, the volume of the ellipsoid is 848.7.
To find the length of a side of a cube given its volume, you need to take the cube root of the volume. The formula for finding the length of one side is s = ∛V, where s is the length of one side and V is the volume.
3. Given that the volume of the cube is 3,944.312 cm³, you can substitute V = 3,944.312 into the formula: s = ∛(3,944.312). Calculate the value: s ≈ 15.8. Rounded to the nearest tenth, the length of each side of the cube is 15.8 cm.
To find the volume of a cylinder, you need to know its height and the radius of its base. The formula for the volume of a cylinder is V = π * r² * h, where V is the volume, π is a mathematical constant (approximately 3.14), r is the radius of the base, and h is the height.
4. Given that the height of the cylinder is 5 in and the radius of its base is 3.2 in, you can substitute r = 3.2 and h = 5 into the formula: V = 3.14 * (3.2)² * 5. Calculate the value: V ≈ 160.3. Rounded to the nearest tenth, the volume of the cylinder is 160.3 cubic inches.