1.) find the volume of this cylinder. diameter 8cm and height=7cm. round to the nearest hundredth.
2.) find the volume of the cone. diameter=4m and height= 6m. round to the nearest hundredth.
3.) find the volume of the sphere. Radius=5m. round the the nearest hundredth.
4.) find the volume of the sphere. Diameter=13m. round to the nearest hundredth.
just plug your numbers into the standard formulas.
sphere: 4/3 πr^3
cylinder: πr^2 h
cone: 1/3 πr^2 h
where r is the radius (half the diameter)
come back if you get stuck, and show what happened.
1.) To find the volume of a cylinder, you can use the formula V = πr^2h, where V represents the volume, r represents the radius of the base, and h represents the height.
In this case, the diameter of the cylinder is given as 8 cm. To find the radius, divide the diameter by 2: r = 8 cm / 2 = 4 cm.
The height of the cylinder is given as 7 cm.
Now, substitute these values into the formula: V = π(4 cm)^2(7 cm).
Calculate the volume: V ≈ π(16 cm^2)(7 cm) ≈ 351.86 cm^3.
Rounded to the nearest hundredth, the volume of the cylinder is approximately 351.86 cm^3.
2.) To find the volume of a cone, you can use the formula V = (1/3)πr^2h, where V represents the volume, r represents the radius of the base, and h represents the height.
In this case, the diameter of the cone is given as 4 m. To find the radius, divide the diameter by 2: r = 4 m / 2 = 2 m.
The height of the cone is given as 6 m.
Now, substitute these values into the formula: V = (1/3)π(2 m)^2(6 m).
Calculate the volume: V ≈ (1/3)π(4 m^2)(6 m) ≈ 16π m^3.
Rounded to the nearest hundredth, the volume of the cone is approximately 50.27 m^3.
3.) To find the volume of a sphere, you can use the formula V = (4/3)πr^3, where V represents the volume and r represents the radius.
In this case, the radius of the sphere is given as 5 m.
Substitute this value into the formula: V = (4/3)π(5 m)^3.
Calculate the volume: V ≈ (4/3)π(125 m^3) ≈ 523.60 m^3.
Rounded to the nearest hundredth, the volume of the sphere is approximately 523.60 m^3.
4.) To find the volume of a sphere using the diameter, you can use the formula V = (1/6)πd^3, where V represents the volume and d represents the diameter.
In this case, the diameter of the sphere is given as 13 m.
Substitute this value into the formula: V = (1/6)π(13 m)^3.
Calculate the volume: V ≈ (1/6)π(2197 m^3) ≈ 1153.27 m^3.
Rounded to the nearest hundredth, the volume of the sphere is approximately 1153.27 m^3.