For numbers 1–3, find the indicated measurement of the figure described. Use 3.14 for (pi) and round to the nearest whole number.
1) Find the surface area of a sphere with a radius of 8 cm.
a. 268 cm2
b. 804 cm2
c. 2,144 cm2
d. 201 cm2
2) Find the surface area of a sphere with a radius of 12 m.
a. 1,809 m2
b. 452 m2
c. 7,235 m2
d. 603 m2
3) Find the volume of a sphere with a radius of 4 ft.
a. 33 ft3
b. 67 ft3
c. 268 ft3
d. 804 ft3
My Answer: PLEASE BE HONEST !!!!!! :( :D
1) d
2) a
3) c
1 is wrong.
The other two are correct.
OK, Thank You So Much For Understanding! :-)
To find the surface area of a sphere, you can use the formula: Surface Area = 4 * pi * r^2, where "pi" represents the value of pi (approximately 3.14) and "r" represents the radius of the sphere.
Let's calculate the surface area for each of the given examples:
1) Surface Area = 4 * 3.14 * (8)^2 = 4 * 3.14 * 64 = 3.14 * 256 ≈ 804
Since we need to round to the nearest whole number, the surface area is approximately 804 cm². Therefore, the correct answer is (b) 804 cm².
2) Surface Area = 4 * 3.14 * (12)^2 = 4 * 3.14 * 144 = 3.14 * 576 ≈ 1809
Rounding to the nearest whole number gives us approximately 1809 m². Therefore, the correct answer is (a) 1809 m².
To find the volume of a sphere, you can use the formula: Volume = (4/3) * pi * r^3.
3) Volume = (4/3) * 3.14 * (4)^3 = (4/3) * 3.14 * 64 = (4/3) * 3.14 * 64 ≈ 268
Rounding to the nearest whole number gives us approximately 268 ft³. Therefore, the correct answer is (c) 268 ft³.
So, according to the calculations, your answers would be:
1) d
2) a
3) c