Answer:
-30
Step-by-step explanation:
3 3/5 × -8 1/3
Turn to improper fractions.
18/5 × -25/3
Multiply.
-450/15
Divide.
= -30
The equation for volume of a sphere is:
Volume = 4/3 * PI * r^3
r is the radius = 1 inch
Volume is given as 4 cubic inches per second increase.
Given: dv/dt = 4 cubic inches per second.
Need to find dr/dt
Formula for volume of a sphere is: V = 4/3 * π * r^3
so now we have:
4 in^3 = 4 * π *1^2
Divide both sides by 4 * π *1^2
4 in^3 / 4π = 1/π inch per second.
The answer is 1/π inch per second ( exact answer)
or as a decimal: 0.3183 ( round as needed).
Answer:
15 is the area
Step-by-step explanation:
Step-by-step explanation:
Area of Rectangle at the top =
Length x Width

Area of Quarter- Circle = 1/4 x Area of Circle

Area of Rectangle at the right = Length x Width

Total Area = Area of 2 Rectangles + Area of Quarter Circle

I will leave the answer in terms of pi as I'm not sure if you need to round off your answer.
The volume is 35 inches.
hope i helped