Formula for the volume of cone is 
Where r= radius of the cone
h = height of the cone
The value of pi is 3.14
Given volume of larger cone is 131 cm^3
Volume of larger cone =
131 = 
Solve for h
131 = 26.1667 *h
So h= 5 cm
The height of bigger cone = 5cm
Now we find the volume of smaller cone
Two cones similar so the sides are in proportional
Height of smaller cone = 2cm
volume of smaller cone = 
= 8.38cm^3
Answer:
ANSWER = −6x^5 +9x^4 − 9x^3
Step-by-step explanation:
Let's simplify step-by-step.
(−3x^3) (2x^2 + 3) + 9x^4
Distribute:
=(−3x^3) (2x^2) + (−3x^3) (3) + 9x^4
=−6x^5 + − 9x^3 + 9x^4
Answer:
= −6x^5 +9x^4 − 9x^3
Answer:
The cost of the pillar is $22,947.12
Step-by-step explanation:
Diameter of the pillar = 6m
Radius = diameter / 2 = 6 / 2 = 3m
Height if the pillar = 7m
Volume of the pillar = πr²h
π = 3.14
V = 3.14 × 3² × 7
V = 3.14 × 9 × 7
V = 197.82m³
Volume of the pillar is 197.82m³
If 1m³ = $116
197.82m³ will cost $x
X = (197.82 × 116) / 1
X = $22,947.12
The cost of the pillar is $22,947.12
Let the number of red beads be x, then the number of yellow beads is 50 - x.
Then, 6/9 = x/(50 - x)
9x = 6(50 - x) = 300 - 6x
15x = 300
x = 300/15 = 20
Therefore, we expect 20 red beads in the bag.
