Question

(a) John and Sandra we're building a sandcastle they decided to make it into a cone shape after sometime the diameter of the sand shaped cone was 12 in in the height with 7in what is the exact volume of the sand cone show your work (b) the boys kept adding sand and 10 minutes later the volume of the sand cone at increased by 30% what is the exact volume of the sand cone now show your work

Answer 1

a).volume of the cone is,

$v=\frac{1}{3}\text{ }\Pi r^{2\text{ }}h\text{ }$

here ,radius,r=6in and height = 7in

on applying this in the above equation we get

$v=\frac{1}{3}\ast3.14\ast6\ast6\ast7=263.89\text{ cubic units}$

b) volume is increased by 30%

30% of 263.89 =79.167

so the new volume = 79.167+263.89=343.057 cubic units

so the final aswer is =343.057 cubic units