Answer:
x = 9.27 cm
Volume = 289.2 cm³
Step-by-step explanation:
SA = Surface Area
SA = 229.2 cm²
P = Perimeter of Base
P = 3(6)
P = 18 cm
H = Height of Solid
H = x
A = Area of Base(Equilateral Triangle)
A = 6²√3 / 4
A = 36√3 / 4
A = 9√3
A = 9(1.732)
A = 31.176
A = 31.2 cm²
SA = Surface Area
SA = PH + 2A
229.2 = 18x + 2(31.2)
229.2 = 18x + 62.4
229.2 - 62.4 = 18x
166.8 = 18x
9.266 = x
9.27 = x
x = 9.27 cm
V = Volume
V = AH
V = 31.2(9.27)
V = 289.224
V = 289.2 cm³
Answer:

Step-by-step explanation:
Given that,
Distance, d = 100 mile
Velocity of the winner, v = 120.1229 mph
We know that velocity of an object is equal to distance per unit time. Let t is the time. So,

Hence, 1.201 hour is taken by the winner.
Answer:
b. PQ
Step-by-step explanation:
The formula of the volume of a cylinder:

r - a radius of a base
H - a height of a cylinder
We have:

Substitute:
The rock will hit the ground when y=0, so we need to solve this equation for its roots. To do that, we set it equal to 0:

Divide everything by -0.005 to clear out the decimals:

Now use the quadratic formula:


or

We want the larger x value since the smaller one is when the rock will reach the top of the hole.