Answer:
Surface Area is 56π cm²
Step-by-step explanation:
The area for a cylinder's surface area is
a=2πrh+2πr²
The cylinder base's radius is 4 cm
The cylinder's height is 3 cm
Putting into the equation:
a=2×π×4×3+2×π×4²
a=2π×4×3+2×π×4²
a=8π×3+2×π×4²
a=24π+2×π×4²
a=24π+2×π×16
a=24π+2π×16
a=24π+32π
a=56π
The surface area of the cylinder is 56π cm².
Answer:
Option A
Step-by-step explanation:
We need to find two expressions that, when simplified, give the same results.
1) First, simplify the expression stated in the question. Multiply each of the terms in the parentheses by the number that is next to them. This would mean you have to multiply both 9x and -6 by 
. You also have to multiply 
and 
by 4. Then, simplify.
2) Now, combine the like terms.
So, we need to find which of the expressions listed equal 8x - 6.
3) Let's try option A. Do the same as before. Multiply each of the terms in the parentheses by the number that is next to them. So, multiply 4x and -12 by 
. Also, multiply 30x and 18 by 
. Then, combine like terms and simplify.
This also equals 8x - 6. Therefore, option A is the answer.
Answer:
about 2714.34 in^3
Step-by-step explanation:
24/2=12--radius
12/2=6--height
formula is V=(pi)(r^2)(h)
r is for radius and h is for height
V=(pi)(12*12)(6)
V=(pi)(144)(6)
V=(pi)(864)
V= about 2714.34 in^3
Set the following: Length = L Width = W
The length is twice the width: L = 2*W or: W = L/2
Perimeter: P = 60ft = 2*L + 2*W
Substituting L for W in the perimeter equation gives:
P = 60ft = 2*L + 2*(L/2) = 2*L + L = 3L
L = 60ft/3 = 20ft W=L/2=20ft/2=10ft
Verify result: Perimeter= P = 60ft = 2L + 2W = 2*20ft +2*10ft = 40ft+20ft = 60ft
The area of the rectangular is: Area = A = Length*Width = L*W = 20ft*10ft = 200 (ft)^2
-Rosie
