Question

Please show work, thanks ​

Answer 1

Answer:

4) 1400 $in^3$

5) 304$\Pi$ or 954.56$yd^3$

6) 315 $ft^2$

Step-by-step explanation:

$4)$

$V = \frac{lwh}{3} = \frac{20*20*10.5}{3} = \frac{4200}{3} = 1400$

$5)$

$A = \Pi(\frac{D}{2})^2 = \Pi(\frac{8}{2})^2 = \Pi*4^2 = 16\Pi$

$V = A * h = 16\Pi * 19 = 304\Pi = 304 * 3.14 = 954.56$

$6)$

$h^2 = 8^2 + 8^2 => h^2 = 64 + 64 = 128 => h =\sqrt{128}$

$A_1 = 2(\frac{8*\sqrt{128}}{2}) = 8*\sqrt{128} = 32 = 90.5$

$A_2 = 2(14 * 8) = 2*112 = 224$

$A = A_1 + A_2 = 91 + 224 = 315$