Answer:
The volume of the sphere is eight times the volume of hemisphere
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x-----> volume of the hemisphere
y-----> volume of the sphere
in this problem we have
substitute
that means------> The volume of the sphere is eight times the volume of hemisphere
Answer:
D. 3x + 12
Step-by-step explanation:
Distribute the 3 inside.
3 * x = 3x
3 * 4 = 12
3x + 12
9514 1404 393
Answer:
Step-by-step explanation:
Comparing the two given equations, we see ...
h = 1
k = -3
r = √25 = 5
The center is (1, -3), and the radius is 5.
Answer:
r = (3V/π)^1/3
Step-by-step explanation:
Given that :
Volume of a sphere = V = 4/3πr³
Dividing into 4
4/3 * 1/4 πr³ = 4/12πr³ = 1/3πr³
V = 1/3πr³
Cross multiply
3V = πr³
Divide both sides by π
3V/ π = πr³/ π
3V/ π = r³
Take the cube root of both sides
r = (3V/π)^1/3
Answer:
This cannot be done, but it can be factored as: 6(5x + 1)
Step-by-step explanation:
This expression cannot be distributed any further.
The distributive property is used when multiplying polynomials (multiplying one or more terms by two or more terms). In which case, each term in multiplied by each of the terms in the bracket, for example: .
5(x + 2) = 5x + 10
We can factor this expression however to go the opposite direction:
30x + 6
Since 30 and 6 are both divisible by 6, we can factor it out of each term.
Divide 30x by 6 and divide 6 by 6.
6(5x + 1)
