Question

HELPP
Suppose that a sphere with radius 5a has the same volume as a cone of radius 3a. What is the height of the cone? Give your answer in terms of a. Use the formulas and for the volumes of a sphere and cone respectively.

Answer 1

FORMULAS : \[V=\frac{ 4 }{ 3 } \pi r ^{3}\]
\[V = \frac{ 1 }{ 3 }\pi r ^{2} h\]

Answer 2

just put r=5a in 1st equation
r=3a in 2nd equation.
then divide 1st equation by 2nd equation.
u will get h after simplification.

Answer 3

i got \[\frac{ 20 }{ 3 }\]

Answer 4

nopes.....also there should be 'a' in your answer

Answer 5

answers ..
b. \[\frac{ 500 }{ 9 }a\]
c. \[\frac{ 9 }{ 500 }a ^{2}\]
d. \[\frac{ 500 }{ 9 }a\]

Answer 6

these are the possible answers

Answer 7

\[4(125a^3)=(9a^2)h\]
so
\[h=\frac{125*4*a^3}{9a^2}\]

Answer 8

can u solve further?

Answer 9

whats the difference between option b and d ??

Answer 10

b is suppose to be a squared sorry !

Answer 11

so can u get h from
\[h=\frac{125*4*a^3}{9a^2}\]
?

Answer 12

wouldnt it be d ? i think ...

Answer 13

125*4=500

Answer 14

yup :)

Answer 15

so its d i got it right

Answer 16

yes,its d

Answer 17

thank you so much for the help !