Volume of the cylinder = πr²h = π(1)² (21) = 21π cm³
Volume of the cone = 1/3 π r² h
21π = 1/3 π (r)² (7)
r³ = 21π ÷ (7/3 π)
r² = 9
r = 3
Answer : Radius = 3
Answer:
±16
Step-by-step explanation:
the square root of 256 is positive or negative 16! (if it only lets you put one answer, put positive 16).
An equation without exponents and two variables, is typically a straight line. All the points on the line with integer coordinates are solutions of the equation. Since x and y have to be positive as well, there aren't that many solutions.
Let's see where the line crosses the x-axis, it is where y=0:
x/0.5 + 0 = 18, so x=9 at the intercept. y=0 there, so this is a point on the line, but not a solution to the question (y was supposed to be positive).
Possible values for x are thus limited to 1,2,3,4,5,6 and 7. You can try them all (ie., solve the equation with them) and see for which x values the y is also positive and integer.
You will find that x=4, y=2 is the only pair that satisfies these conditions.
No. 6r is 6 multiplied by r so in order to get r, you will need to divide both sides by 6 in the first equation so r should =12
Answer:
Length of hypotenuse of given triangle
= sqrt(356) (exact value)
= 18.87 (to 2 decimal places)
Step-by-step explanation:
Using the pythagorean Theorem,
The hypotenuse
c = sqrt(a^2+b^2)
= sqrt(16^2+10^2)
= sqrt(356) (exact value)
= 18.87 (to 2 decimal places)