Question

Find the volume given cylinder. 8in,8in. Use 3.14 for pi and round to the nearest tenth.

A.1607.7in*3

B.2845.7in*3

C.6430.7in*3

D.401.9in*3

2.Find the volume of a rectangular prism with the following dimensions: L=5mm B=7mm H=3mm
142mm*3
105mm*3
126mm*3
130mm*3

3.Find the volume of the given pyramid. 7yd,7yd,9yd
147yd*3
175yd

Answer 1

1.
`V =1607.7\ in^3`

2.
`V = 105mm^3`

3.
`V = 147yd^3`

Explanation:

Solving (1):

Given

`Radius, r =8\ in`

`Height, h =8\ in`

Required

Determine the volume

Volume (V) of a cylinder is calculated as thus:

`V =\pi r^2h`

`V =3.14 * 8^2 * 8`

`V =1607.7\ in^3`

Hence, the volume of the cylinder is
`1607.7\ in^3`

Solving (2):

Given

`Length, l = 5mm`

`Width, B = 7mm`

`Height, H = 3mm`

Required

Determine the volume (V) of the rectangular prism

Volume (V) of a rectangular prism is calculated as thus:

`V = LBH`

`V = 5mm * 7mm * 3mm`

`V = 105mm^3`

Hence, the volume of the prism is
`105mm^3`

Solving (3):

Given

`Length, l = 7yd`

`Width, B = 7yd`

`Height, H = 9yd`

Required

Determine the volume (V) of the pyramid

Volume (V) of a pyramid is calculated as thus:

`V = (1)/(3) *LBH`

`V = (1)/(3) * 7yd * 7yd * 9yd`

`V = (1)/(3) * 441yd^3`

`V = 147yd^3`

Hence, the volume of the pyramid is
`147yd^3`