Calculate the volume of this regular solid. What is the volume of the cone? Round your answer to
the nearest hundredth.
4.5 cm
B
3cm

V= 42.41

Step-by-step explanation:

where r is the radius = 3 and h is the height = 4.5

× ×

V = 42.41

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584