Answer:
D
Step-by-step explanation:
We require to calculate the volume (V) of the cone and sphere.
The volume of a cone is calculated as
V = 
πr²h ( r is the radius and h the height )
Here diameter = 5, hence r = 5 ÷ 2 = 2.5, thus
V = π × 2.5² × 8 ≈ 52.36 cm³
The volume of a sphere is calculated as
V = 
πr³ ( r is the radius )
Here diameter = 5, hence r = 5 ÷ 2 = 2.5, thus
V= π × 2.5³ ≈ 65.45 cm³
Since volume of the sphere is greater than the volume of the cone
Thus when the ice cream melts it will overflow → D
Answer:
Robert
Step-by-step explanation:
If Robert runs 3 miles in 45 minutes, by the end of 90minutes, Robert would have covered 6miles, while Jacob covered 5miles in 90 minutes, therefore, Robert ran faster than Jacob.
Answer:
????
Step-by-step explanation:
Answer:
The earth is bigger
Step-by-step explanation:
The Earth is bigger than the sun, because 1 million earths can fit inside the sun.
Answer:
72.578 to the nearest thousandth.
Step-by-step explanation:
g(x)=3x^3 + 3x^2 - 30x + 24
Find the derivative:
g'(x) = 9x^2 + 6x - 30.
This equals zero for values of turning points:
9x^2 + 6x -30 = 0
3(3x^2 + 2x - 10) = 0
x = [-(2) +/- √(2^2 - 4*3*-10)] / 2*3
x = (-2 +/- √124) / 6
x = (-2 + 11.136)/6, (-2 - 11.136)/6
x = 1.523, -2.189.
To check which value of x gives a maximum value for f(x) use the second derivative test:
g"(x) = 18x + 6
when x = -2.189 g"(x) = 18(-2.189) + 2 which is negative so this value gives a local maximum.
Local maximum value for f(x)
= 3(-2.189)^3 + 3(-2.189)^2 - 30(-2.189) + 24
= 72.578 answer.
