Question

Sand poured from a beach pail forms a cone with a height of 32 centimeters and a volume of 3351.0 cubic centimeters. What is the radius of the sand poured from a beach pail in the shape of a cone?

Answer 1

Radius = 5.77231 cm

Explanation:

Volume of Cone Vc =
`\pi r^2 (h/3)` ;

where h = height of cone, r = radius,
`\pi` = 22/7

Given : Vc = 32 , h = 32 , r = ?

As per formula :- 3351 = (22/7) (r^2) (32)

r^2 = (3351 x 7) / (32 x 22)

r^2 = 33.3196

r = √33.3196 = 5.77231

Answer 2

Answer:r=10 cm

Explanation:

Given

Height of Cone
`h=32\ cm`

Volume
`V=3351\ cm^3`

and Volume of cone
`V=(1)/(3)\pi r^2h`

`\Rightarrow 3351=(1)/(3)\pi (r)^2* 32`

`\Rightarrow \pi r^2=(10,053)/(32)`

`\Rightarrow r^2=(314.156)/(3.142)`

`\Rightarrow r=√(99.986)`

`\Rightarrow r=9.99\approx 10\ cm`