PLEASE HELP 69 POINTS, BRAINLIEST, 5 STARS, AND THANKS.

a) 125 scoops b) 31 scoops

Step-by-step explanation:

The sink = 4000/3 pi

a) The volume of a Cone is 1/3 (pi)(h)(r)^2, meaning...

(1/3)(pi)(8)(2^2)=32/3 pi, and...

(4000pi/3)/(32pi/3) =

4000/32 =

125

b) The volume of a Cone is 1/3 (pi)(h)(r)^2, meaning...

(1/3)(pi)(8)(4^2) = 128pi/3, and...

(4000pi/3)/(128pi/3) =

4000/128 =

31.25, which is approx. 31

a) 125

b) 31

Step-by-step explanation:

a) radius = 2

Volume of cup = ⅓×pi×r²×h

= 32pi/3

No. of scoops = 4000pi/3 ÷ 32pi/3

= 125

b) radius = 4

Volume of cup = ⅓×pi×r²×h

= 128pi/3

No. of scoops = 4000pi/3 ÷ 128pi/3

= 31.25

Nearest whole number: 31

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

n

step-by-step explanation: