139k views
3 votes
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?

User Sactiw
by
7.7k points

2 Answers

2 votes

Answer:

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

User StackG
by
7.9k points
3 votes

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

User Lenny Sirivong
by
7.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories