solid mensuration
posted by ylzik .
is what i've been doing correct so far:
find the value of h for a spherical segment whose volume is equivalent to 159pi if the radii of the bases are 5m and 4m respectively
v= (pi/6)(3a^2 + 3b^2 + h^2) h
v= 0.52 ((3)(5^2) + (3)(4^2) + h^2) h
= 0.52 ((3)(25) + (3)(16) + h^2) h
= 0.52 (75 + 48 + h^2) h
=(39 + 24.96 + 0.52h^2) h
=(63.96 + 0.52h^2) h
if so, how do i find the value of h?
if not, where did i go wrong?
thank youuuuu so much for any help!!!

looks like you are using
V = (Pi/6)(3r1^2+3r2^2+h^2)h
where r1 and r2 are the two radii
but you are given that the volume is 159pi
159pi = pi/6(75 + 48 + h^2)h
954 = 123h + h^3
h^3 + 123h  954 = 0
this solves for h = 6 and 2 complex roots.
Respond to this Question
Similar Questions

Physics
Four objects  a hoop, a solid cylinder, a solid sphere, and a thin, spherical shell  each has a mass of 4.59 kg and a radius of 0.252 m. (a) Find the moment of inertia for each object as it rotates about the axes shown in the table … 
solid mensuration
what is the area of a section bounded by a closed elliptical whose major and minor segments measures 60cm and 45cm respectively? 
math
1. Find the expense at 60 cents a square foot of polishing the curved surface of a marble column in the shape of the frustum of a right circular cone whose slant height is 12 ft. and the radii of whose bases are 3ft 6in and 2ft 4in … 
solid mensuration
Find the area of a segment of a circle whose diameter is 16 cm & the central angle measures 80 degrees. Please include solution. Thanks. 
Solid mensuration
The bases of a triangular right prism are apart. find the volume and the total surface area of the prism if one side of the quilateral triangular base measures 6cm 
solid mensuration
What is the area of a section bounded by a closed elliptical figure whose major and minor segments measure 60 m and 40 m, respectively? 
solid mensuration
The base of a right prism is a rhombus whose sides are 12 inch and whose longer diagonal is 15 inch. Find its volume. 
A mathematics
The sum of radii of two spherical balls is 22cm and the difference of their volume is 3050 2/3 cm3. Find the radii of the balls. (take pie=22/7) 
Solid mensuration
The area of a segment of a circle is 330 square meter. If the longest chord of the segment is 57 meter,find its radius. 
solid mensuration
the base of a rectangular solid is 4 ft. long and 3 ft. wide. find the volume of the solid if its diagonal is square root of 41 ft. .