Wesley makes spherical fish tanks with a diameter of 30\text{ cm}30 cm30, start text, space, c, m, end text. A customer requests a smaller tank with half the volume of the tank that Wesley usually makes. What is the approximate diameter of the smaller tank?

v = 4/3 pi r cube

v =4/3 pi r (15) cube

v=4500 pi

v= 45000 pi /2=4/3pi r cube

1687.5=r cube

r =11.9

d =23.8

ans =23.8

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,