Volume of a sphere = 4/3 πr³
4/3 * 3.14 * r³ = 4000
4.19 * r³ = 4000
r³ = 4000 / 4.19
r = ∛1058
r = 10.19
Now, surface area = 4πr² = 4 * 3.14 * (10.19)²
S.A. = 12.56 * 104
S.A. = 1307
In short, Your Answer would be Option D) 1307 m²
Hope this helps!
If it’s 5% then it’s 0.05
Answer:
a = -5
b = -1
m = -1
Step-by-step explanation:
Piecewise function:
f(x)= -5, x=0
f(x)= −x^2+3x+a, 0<x<2
f(x)= mx + b 2≤x≤3
The mean value theorem is applicable if f(x) is continuous on the entire closed interval [0;3] and differentiable on the entire closed interval [0;3].
To satisfied that at x = 0
:
−x^2+3x+a = -5
Then, a = -5
Derivative of −x^2+3x-5 is -2x + 3 and derivative of mx + b is m, at x = 2:
-2(2) + 3 = m
-1 = m
Replacing the functions at x = 2
:
−x^2+3x-5 = -x + b
−(2)^2+3*2-5 = -2 + b
-3 + 2 = b
-1 = b
The hypotenuse should not be counted while finding the area of a triangle. The formula for the area of a triangle is 0.5bh. The Pythagorean theorem is a^2+b^2=c^2. The legs represent a and b, while the hypotenuse represents c.
Right angle triangle
answer is (C)
