Question

A small snow cone has a radius of 3 cm. and a

height of 5 cm. A large snow cone has a radius
of 6 cm. and a height of 5 cm. How many more
cubic inches does the large snow cone hold?

Answer 1

30.8 cm³

Explanation:

slant height of small cone =l

using; l²= h²+r²

l²=5²+3²=25+9=34

l=√34=5.8cm

volume of small cone =1/3πrl

=1/3(π×3×5.8)

=1/3(54.67)= 18.2 cm³

slant height of big cone =l

using; l²= h²+r²

l²=5²+6²=25+36=61

l=√61=7.8cm

volume of big cone =1/3πrl

=1/3(π×6×7.8)

=1/3(147.02)= 49.0 cm³

49.0-18.2= 30.8 cm³