Answer:
Yes, your answers are correct.
The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16
Yes. Parallel means same slope as original line. So it’s 2
9514 1404 393
Answer:
3 1/3
Step-by-step explanation:
Multiply both sides by the reciprocal of the coefficient of c.
(5/2c)(2/5) = (8 1/3)(2/5)
c = (25/3)(2/5) = 50/(3·5) = 10/3
c = 10/3 = 3 1/3
24 pine trees in equal rows, with the number of trees in each row being 10 or more than the number of rows.
Hugo could have planted 12 trees in 2 rows.