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)
107.2×.26= 27.87 gallons
107.2 liters, .26 gallons per liter
Answer:
a. 96 in²
Step-by-step explanation:
The surface area of the prism = the sum of the area of each part of the net shown
✔️Area of the 2 equal triangles = 2(½*b*h)
b = 4 in
h = 3 in
Area of the two triangles = 2(½*4*3) = 12 in²
✔️Area of the rectangle 1 with the following dimensions:
L = 7 in
W = 3 in
Area = L*W = 7*3 = 21 in²
✔️Area of the rectangle 2 with the following dimensions:
L = 7 in
W = 4 in
Area = L*W = 7*4 = 28 in²
✔️Area of the rectangle 3 with the following dimensions:
L = 7 in
W = 5 in
Area = L*W = 7*5 = 35 in²
✅Surface area of the prism = 12 + 21 + 28 + 35 = 96 in²
Answer: a) x < 3
b) 3, 4, 5, 6
c) x > 6
<u>Step-by-step explanation:</u>
First you need to understand the symbols:
< means less than (represented by an open dot, left arrow)
≤ means less than or equal to (represented by a closed dot, left arrow)
> means greater than (represented by an open dot, right arrow)
≥ means greater than or equal to (represented by a closed dot, right arrow)
a) We have a closed dot and a left arrow so we need to use <
We write this inequality as: x < 3
b) y is BETWEEN 2 and 6 (not including 2 but including 6)
2 <u> </u><u>3 </u> <u> 4 </u> <u> 5 </u> 6
c) 3x + 7 > x + 19
2x + 7 > 19 subtracted x from both sides
2x > 12 subtracted 7 from both sides
x > 6 divided both sides by 2
Answer:
$879.19
Step-by-step explanation:
I'm not sure how you got that, but here's what I did.
To calculate tax:
Cost before tax * Tax% = Tax
$815.95 * 7.75% = $63.24
To calculate cost after tax:
Tax + Cost before tax = Cost after tax
$63.24 + $815.95 = $879.19
