Water leaks from a crack in a vase at a rate of 0.5 cubic inch per minute. How long does it take for 20% of the water to leak from a full vase?

the cone is 4.8 inch in diameter. and 10 inches in height. the formula is (1/3) x 3.14 x radius squared x height.

Respuesta :

find total volume to find what amount is 20%
hack, is put the 20% in alreadyy to find 20% volume
20%=1/5

so
vcone=1/3(hpir^2)
times thath by 1/5
vcone=1/15(hpir^2)
d/2=r
given

4.8=d
4.8/2=d/2=r=2.4
10=h

V=1/15(10pi2.4^2)
V=1/15(10pi5.76)
V=1/15(57.6pi)
V=3.84pi
V=12.0637 cubic inches=20% of vase
0.5 cubc inches per min

0.5 times t=12.0637
divide both sides by 0.5
t=24.1237
about 24 minutes


Answer:

about 24 minutes