Answer:
B is 4/3 and it is greater...
Step-by-step explanation:
i'm not that good at math......
Answer:
565.25 inches cubed
Step-by-step explanation:
14*(8 + 1/2)*(4 + 3/4)=565.25 inches cubed
It looks like you want to compute the double integral
over the region <em>D</em> with the unit circle <em>x</em> ² + <em>y</em> ² = 1 as its boundary.
Convert to polar coordinates, in which <em>D</em> is given by the set
<em>D</em> = {(<em>r</em>, <em>θ</em>) : 0 ≤ <em>r</em> ≤ 1 and 0 ≤ <em>θ</em> ≤ 2<em>π</em>}
and
<em>x</em> = <em>r</em> cos(<em>θ</em>)
<em>y</em> = <em>r</em> sin(<em>θ</em>)
d<em>x</em> d<em>y</em> = <em>r</em> d<em>r</em> d<em>θ</em>
Then the integral is
To find the surface are, we can add up the area of all of the sides.
Top:
4in x 9in = 36in^2
Bottom:
<span>4in x 9in = 36in^2
</span>
Front:
5in x 9 in = 45in^2
Back:
<span>5in x 9 in = 45in^2
</span>
Right:
4in x 5in = 20in^2
Left:
<span>4in x 5in = 20in^2
</span>
Adding them all together:
36+36+45+45+20+20 = 202in^2
The surface area of the prism is 1. 202 in^2