13. What is the surface area of a sphere with a radius of 4 meters rounded to the nearest square meter? (1 point)50 m2
101 m2
201 m2
268 m2
14. What is the volume of a sphere with a radius of 4 meters rounded to the nearest square meter? (1 point)67 m3
201 m3
268 m3
804 m3
Area = 4 π r^2
Volume = 4/3 π r^3
To calculate the surface area of a sphere, you can use the formula:
Surface Area = 4πr^2
where r is the radius of the sphere.
Plugging in the given radius of 4 meters, we can calculate the surface area as follows:
Surface Area = 4π(4)^2
Surface Area = 4π(16)
Surface Area = 64π
To round it to the nearest square meter, we can calculate the approximate value of π which is 3.14:
Surface Area ≈ 64(3.14)
Surface Area ≈ 200.96
Rounding to the nearest whole number gives us:
Surface Area ≈ 201 m2
Therefore, the answer to question 13 is 201 m2.
To calculate the volume of a sphere, you can use the formula:
Volume = (4/3)πr^3
Plugging in the given radius of 4 meters, we can calculate the volume as follows:
Volume = (4/3)π(4)^3
Volume = (4/3)π(64)
Volume = (256/3)π
To round it to the nearest whole number, we can use the approximate value of π as 3.14:
Volume ≈ (256/3)(3.14)
Volume ≈ 268.52
Rounding to the nearest whole number gives us:
Volume ≈ 268 m3
Therefore, the answer to question 14 is 268 m3.
To find the surface area of a sphere, you can use the formula:
Surface Area = 4πr^2
where r is the radius of the sphere.
For question 13, the radius is given as 4 meters.
So, substituting the value into the formula:
Surface Area = 4π(4^2)
Calculating this:
Surface Area = 4π(16)
Surface Area ≈ 201.06
Rounded to the nearest square meter, the surface area is 201 m^2.
Now, to find the volume of a sphere, you can use the formula:
Volume = (4/3)πr^3
Again, for question 14, the radius is given as 4 meters.
Substituting the value into the formula:
Volume = (4/3)π(4^3)
Calculating this:
Volume = (4/3)π(64)
Volume ≈ 268.08
Rounded to the nearest square meter, the volume is 268 m^3.