Question

Please show work, thanks ​

Answer 1

4) 1400
`in^3`

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

6) 315
`ft^2`

Explanation:

`4)`

`V = (lwh)/(3) = (20*20*10.5)/(3) = (4200)/(3) = 1400`

`5)`

`A = \Pi((D)/(2))^2 = \Pi((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 =√(128)`

`A_1 = 2((8*√(128))/(2)) = 8*√(128) = 32 = 90.5`

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

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