Answer:
8.20in³
Step-by-step explanation:
Given V = πr²h
r is the radius = 1.5in
h is the height = 6in
thickness of wall of the cylinder dr = 0.04in
top and bottom thickness dh 0.07in+0.07in = 0.14in
To compute the volume, we will find the value of dV
dV = dV/dr • dr + dV/dh • dh
dV/dr = 2πrh
dV/dh = πr²
dV = 2πrh dr + πr² dh
Substituting the values into the formula
dV = 2π(1.5)(6)•(0.04) + π(1.5)²(6) • 0.14
dV = 2π (0.36)+π(1.89)
dV = 0.72π+1.89π
dV = 2.61π
dV = 2.61(3.14)
dV = 8.1954in³
Hence volume, in cubic inches, of metal in the walls and top and bottom of the can is 8.20in³ (to two dp)
Answer:
D. x = 9
Step-by-step explanation:
6 x 3/2 = 9
It can sometimes be rational
Answer:
(1/4, 3)
Step-by-step explanation:
Substitution is essentially where we write one variable in terms of another, substitute that into the other equation so that we are left with 1 variable, and then solve for that variable.
Here, the second equation already shows y written in terms of x: y = 12x. Substitute this into the first equation:
6 + 8y = 30
6 + 8 * (12x) = 30
6 + 96x = 30
96x = 24
x = 24/96 = 1/4
Plug this into any of the equations to solve for y:
y = 12x
y = 12 * (1/4) = 3
The answer is (1/4, 3). *Note that none of the answer choices matches this, which means that you may have copied the answer incorrectly.*
