One sphere has a radius of 3 inches and another sphere has a radius of 6 inches. The volume of the larger sphere is about how ma
1 answer:
Answer:
8
Step-by-step explanation:
First off, we need to recognize that the formula for the volume of a sphere is .
Then, we can plug in our r values one at a time.
The volume for the sphere with a 6-inch radius is about 904.779.
The volume for the sphere with a 3-inch radius is about 113.097.
To find how much greater the larger sphere is, we simply create a ratio between the two numbers:
Do the division to find that the volume of the larger sphere is about 8 times the volume of the smaller sphere.
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The solution to the quadratic equation are option C) x= -5 and option E) x=3.
<u>Step-by-step explanation</u>:
The given quadratic equation is x²+2x-15 = 0.
Using the factorization method,
- product of the roots should be -15.
- Sum of the roots should be 2.
⇒ -15 = 5 -3
⇒ 2 = 5+(-3)
(x+5)(x-3) = 0
Therefore, x = -5 and x = 3