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?
2 answers:
Answer:
Radius = 5.77231 cm
Step-by-step explanation:
Volume of Cone Vc =
;
where h = height of cone, r = radius,
= 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:r=10 cm
Step-by-step explanation:
Given
Height of Cone ![h=32\ cm](https://tex.z-dn.net/?f=h%3D32%5C%20cm)
Volume ![V=3351\ cm^3](https://tex.z-dn.net/?f=V%3D3351%5C%20cm%5E3)
and Volume of cone ![V=\frac{1}{3}\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h)
![\Rightarrow 3351=\frac{1}{3}\pi (r)^2\times 32](https://tex.z-dn.net/?f=%5CRightarrow%203351%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%28r%29%5E2%5Ctimes%2032)
![\Rightarrow \pi r^2=\frac{10,053}{32}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cpi%20r%5E2%3D%5Cfrac%7B10%2C053%7D%7B32%7D)
![\Rightarrow r^2=\frac{314.156}{3.142}](https://tex.z-dn.net/?f=%5CRightarrow%20r%5E2%3D%5Cfrac%7B314.156%7D%7B3.142%7D)
![\Rightarrow r=\sqrt{99.986}](https://tex.z-dn.net/?f=%5CRightarrow%20r%3D%5Csqrt%7B99.986%7D)
![\Rightarrow r=9.99\approx 10\ cm](https://tex.z-dn.net/?f=%5CRightarrow%20r%3D9.99%5Capprox%2010%5C%20cm)
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