Answer:
9.43 cm³
Step-by-step explanation:
Given that the surface area of the spherical scoop is 36π cm², we find its radius. The surface area of a sphere, A = 4πr² where r = radius
36π cm² = 4πr²
r² = 36π cm²/4π
r² = 9 cm²
r = √(9 cm²)
r = 3 cm
So, the volume of the spherical scoop of ice cream is thus V = 4πr³/3
= 4π(3 cm)³/3
= 4π(9 cm³)
= 36π cm³
The volume of the ice cream cone is V' = πr²h/3 where r = radius of cone = radius of spherical scoop = 3cm and h = height of cone = 11 cm
V' = π(3 cm)² × 11 cm/3
= 9π cm² × 11 cm/3
= 33π cm³
So, the volume of ice cream that will overflow is thus V - V' = 36π cm³ - 33π cm³
= 3π cm³
= 9.43 cm³
Answer:
80cm
Step-by-step explanation:
120+120=240
400-240=160
160 divided by 2=80cm
Answer:
Infinite amount of solutions
Step-by-step explanation:
Step 1: Write equation
5(x + 2) = 5x + 10
Step 2: Solve for <em>x</em>
- Distribute 5x + 10 = 5x + 10
- Subtract 10 on both sides: 5x = 5x
- Divide both sides by 5: x = x
We see here that <em>x</em> is infinite amount of solutions. We can plug in any value <em>x</em> and it would render the equation true.
The question is:
Consider the differential equation:
(1) Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval. The functions satisfy the differential equation and are linearly independent since
(2) Form the general solution.
Answer:
(1) To verify if the given functions form a fundamental set of solutions to the differential equation, we find the Wronskian of the two functions.
The Wronskian of functions is given as
(2) The general solution may be expressed as a linear combination
Where are arbitrary constants.