Remember, the volume formula of a sphere is
.
Set that equation equal to whatever volume they give you and solve for r.
=
Now solve for r! I know you can do this. If you need help, just comment.
Take a look at the attachment below. It fills in for the attachment that wasn't provided in the question -
An oblique pyramid is one that has a top not aligned with the base. Due to this, the height of the pyramid connects with two vertices at its ends to form a right angle present outside the pyramid, knowing that it is always perpendicular to the base. There is no difference between the calculations of the volume of an oblique pyramid and a pyramid however -
<u><em>And thus, you're solution is 5 cm^3, or in other words option b!</em></u>
Answer: 6-R
Step-by-step explanation:
Answer:
12πx⁴, 15x⁷, 16x⁹
Step-by-step explanation:
Volume of a cylinder: πr²h
Volume of a rectangular prism: whl
Plugging in variables for the volume of a cylinder, we get: 3x²·(2x)²·π
3x²·(2x)² = 3·2·2·x·x·x·x
= 12·x⁴
=12x⁴
Now, we just multiply that by π.
12x⁴·π = 12x⁴π
A monomial is a 1-term polynomial, so 12x⁴π is a monomial.
Plugging in variables for the volume of a rectangular prism, we get: 5x³·3x²·x²
5x³·3x² = 5·3·x·x·x·x·x
= 15·x⁵
= 15x⁵
Now, we just multiply that by x².
15x⁵·x²
= 15·x·x·x·x·x·x·x
= 15·x⁷
=15x⁷
A monomial is a 1-term polynomial, so 15x⁷ is a monomial.
Same steps for the last shape, another rectangular prism:
2x²·2x³·4x⁴
2x²·2x³
= 2·2·x·x·x·x·x
= 4·x⁵
= 4x⁵
Now, we just multiply that by 4x⁴.
4x⁵·4x⁴
= 4·4·x·x·x·x·x·x·x·x·x·
= 16·x⁹
= 16x⁹
A monomial is a 1-term polynomial, so 16x⁹ is a monomial.
Answer:
Mean: 5
Median: 5
Mode: 2
Range: 7
Step-by-step explanation:
We find the mean by adding all the numbers together to get 45. Then we divide the 45 by the amount of numbers in the set, for this one it is 9. 45 divided by 9 equals 5.
To find the median we put the numbers in the set in order from least to greatest. Next, we find the middle number. median=5
To find the mode we find the number repeated the most. In this set the number that repeats the most is 2.
Range is found by subtracting the largest number and the smallest number. 9-2=7
