Detailed Answers:
Volume of a Sphere (V) = 4/3 πr^3
1. Diameter (d) = 21.6 cm
Radius (r) = 21.6/2 = 10.8 cm
Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (10.8)^3
= 4/3 * 22/7 * 1259.712
= 88/21 * 1259.712
=> 5278.79
Volume (V) = 5278.79 cm^3
2. Diameter (d) = 16 cm
Radius (r) = 16/2 = 8 cm
Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (8)^3
= 4/3 * 22/7 * 512
= 88/21 * 512
=> 2145.52
Volume (V) = 2145.52 cm^3
3. Diameter (d) = 24 cm
Radius (r) = 24/2 = 12 cm
Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (12)^3
= 4/3 * 22/7 * 1728
= 88/21 * 1728
=> 7241.14
Volume (V) = 7241.14 cm^3
4. Diameter (d) = 6 cm
Radius (r) = 6/2 = 3 cm
Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (3)^3
= 4/3 * 22/7 * 27
= 88/21 * 27
=> 113.14
Volume (V) = 113.14 cm^3
Let d = 0.825252525..., then
![10d = 8.25252525...=8\frac{25}{10^2-1}=8\frac{25}{99}](https://tex.z-dn.net/?f=10d%20%3D%208.25252525...%3D8%5Cfrac%7B25%7D%7B10%5E2-1%7D%3D8%5Cfrac%7B25%7D%7B99%7D)
Therefore,
Answer:
![21x^{7}y^{11}](https://tex.z-dn.net/?f=21x%5E%7B7%7Dy%5E%7B11%7D)
Step-by-step explanation:
Remove the parentheses and take out the constansts.
![(7 x 3) x^{2} x^{5} y^{3} y^{8}](https://tex.z-dn.net/?f=%287%20x%203%29%20x%5E%7B2%7D%20x%5E%7B5%7D%20y%5E%7B3%7D%20y%5E%7B8%7D)
Simplify 7 x 3 to 21.
![21x^{2} x^{5} y^{3} y^{8}](https://tex.z-dn.net/?f=21x%5E%7B2%7D%20x%5E%7B5%7D%20y%5E%7B3%7D%20y%5E%7B8%7D)
Use the product rule: ![x^{a} x^{b} = x^{a + b}](https://tex.z-dn.net/?f=x%5E%7Ba%7D%20x%5E%7Bb%7D%20%3D%20x%5E%7Ba%20%2B%20b%7D)
![21x^{2 + 5}y^{3+8}](https://tex.z-dn.net/?f=21x%5E%7B2%20%2B%205%7Dy%5E%7B3%2B8%7D)
Simplify 2+5 to 7.
![21x^{7}y^{3+8}](https://tex.z-dn.net/?f=21x%5E%7B7%7Dy%5E%7B3%2B8%7D)
Simplfiy 3 + 8 to 11.
![21x^{7}y^{11}](https://tex.z-dn.net/?f=21x%5E%7B7%7Dy%5E%7B11%7D)
Answer:
15/11
Step-by-step explanation:
Because the GCF is 20
Hope this helps:)