What is the volume of a hemisphere with a radius of 8.5 ft, rounded to the nearest tenth of a cubic foot?

1,296.2 ft^3

Step-by-step explanation:

since a hemisphere is half a sphere

V = (4π/3 x r^3) / 2

V = (4π/3 x 8.5^3) / 2

V = 1,296.2 ft^3

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

3

step-by-step explanation:

divide 13.5 by 9 to get the scale factor. it equals 1.5

2 * 1.5 = 3