Answer:
Volume of cone = 90 ft³
Step-by-step explanation:
diameter of cone = 6ft
radius of cone = 3ft
height = 10ft
Volume of cone = 
V = (3 × 3 × 3 × 10)/3
V = 270/3
V = 90 ft³
Answer:
20
Step-by-step explanation:
3x+50 = 6x-10( opposite angles are equal)
3x = 60
x = 20
Answer:a+b
Step-by-step explanation:
You can use the variables a and b to solve your equation if you need
Answer:
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute in the formula above
Answer:
total volume = (1150/3)pi cm^3
approximate total volume = 1204 cm^3
Step-by-step explanation:
The compound solid looks like it's made up of a cylinder with a base with 10 cm diameter and height of 12 cm and a half sphere with radius 10 cm.
volume of cylinder: (pi)(r^2)h
volume of sphere: (4/3)(pi)r^3
total volume = (pi)(r^2)h + (1/2)(4/3)(pi)r^3
We are given a diameter of 10 cm, so the radius is 5 cm since r = d/2.
total volume = (pi)[(5 cm)^2](12 cm) + (2/3)(pi)(5 cm)^3
total volume = 300pi cm^3 + (250/3)pi cm^3
exact total volume = (1150/3)pi cm^3
approximate total volume = 1204 cm^3