1) Find the surface area for a sphere with a radius of 10 feet. Round to the nearest whole number.
a. 1,256 ft2
b. 4,189 ft2
c. 1,089 ft2
d. 1,568 ft2
2) Find the volume of a sphere with a radius of 10 feet. Round to the nearest whole number.
a. 1,257 ft3
b. 4,187 ft3
c. 1,089 ft3
d. 1,568 ft3
3) Find the surface area for a sphere with a radius of 7 cm. Round to the nearest whole number.
a. 307 cm2
b. 1,436 cm2
c. 1,020 cm2
d. 615 cm2
4) Find the volume for a sphere with a radius of 7 cm. Round to the nearest whole number.
a. 307 cm2
b. 1,436 cm2
c. 1,020 cm2
d. 615 cm2
5) Find the radius of a sphere with a surface area of 804 cm2.
a. 9 cm
b. 8 cm
c. 64 cm
d. 204 cm
1).1,256ft2
2).4,187ft3
3).615 cm2
4).1,436cm3
5).8cm
Are these correct?
agree with all 5, well done :)
i got 5/5 100%
Good.
You are right
Thank you so much the last person that gave me the answers I got. 33%
Let's go through each question to find the correct answers:
1) The formula to find the surface area of a sphere is 4πr^2, where r is the radius. Plugging in the given radius of 10 feet, we get 4 * 3.14 * (10)^2 = 4 * 3.14 * 100 = 1256. This rounds to 1256 ft^2. So the correct answer is a. 1,256 ft^2.
2) The formula to find the volume of a sphere is (4/3)πr^3. Plugging in the given radius of 10 feet, we get (4/3) * 3.14 * (10)^3 = (4/3) * 3.14 * 1000 = 4186.67. Rounding to the nearest whole number, we get 4187 ft^3. So the correct answer is b. 4,187 ft^3.
3) Using the same formula as question 1, the surface area of a sphere with a radius of 7 cm is 4 * 3.14 * (7)^2 = 4 * 3.14 * 49 = 615. This rounds to 615 cm^2. So the correct answer is d. 615 cm^2.
4) Using the same formula as question 2, the volume of a sphere with a radius of 7 cm is (4/3) * 3.14 * (7)^3 = (4/3) * 3.14 * 343 = 1438.293. Rounding to the nearest whole number, we get 1438 cm^3. So the correct answer is a. 1436 cm^3.
5) To find the radius of a sphere when given the surface area, we need to rearrange the formula from question 1. We can solve for r as follows: r = √(A / (4π)), where A is the given surface area. Plugging in the given surface area of 804 cm^2, we get r = √(804 / (4 * 3.14)) ≈ 8.018. Rounding to the nearest whole number, we get r ≈ 8 cm. So the correct answer is b. 8 cm.
Therefore, the correct answers are:
1) a. 1,256 ft^2
2) b. 4,187 ft^3
3) d. 615 cm^2
4) a. 1,436 cm^3
5) b. 8 cm