D) 144(π) cm2
See the image I have shared
Answer:
Figure obtained - Cylinder
Surface area of the cylinder is 1224π square units.
Step-by-step explanation:
When a rectangle is rotated about an axis along its largest side, a cylinder having radius 17 and height 19 units is formed.
Surface area of the cylinder = 2πr(h + r)
By substituting r = 17 units and h = 19 units in the given formula,
Surface area = 2π(17)(17 + 19)
= (34)(36)π
= 1224π
Therefore, surface area of the cylinder is 1224π square units.
Comparing g(x) with f(x), you can see that the function f(x) is translated to the right by 6 units to produce g(x) which is equivalent to (x-6)²
<h3>Transformation of function</h3>
Transformation is a techniques use to change the position of an object on an xy-plane.
Given the parent function f(x) = x² and the function g(x) = x²-12x +36
Factorize g(x);
g(x) = x²-6x-6x+36
g(x)=x(x-6)-6(x-6)
Group the terms to have;
g(x) = (x-6)²
Comparing g(x) with f(x), you can see that the function f(x) is translated to the right by 6 units to produce g(x) which is equivalent to (x-6)²
Learn more on transformation here: brainly.com/question/4289712
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The formula for volume of a prism is v=(1/2bh)h so it would be
(1/2 ×7.8×4)×9= 140.4
