Question

someone please help me???

Answer 1

Answer:

(b) The difference in amount of wax needed candles is 20.74 cu. inches

Step-by-step explanation:

The dimension of the cylinder is:  h =  4 in , r =  2 in

Now, Wax used to make the Candle  = Volume of the cylindrical candle

Also, V ( Cylinder)  = $\pi (r)^2h$

$\implies V = 3.14 (2)^2(4)  = 50.24$

⇒The amount of wax used to make cylindrical candle = 50.24 cu.inches

The dimension of the sphere is:  r =  2 in

Now, Wax used to make the Candle  = Volume of the spherical candle

Also, V ( Sphere)  = $\frac{4}{3} \pi (r)^3$

$\implies V = [tex]\frac{4}{3} (3.14) (2)^3  =33.49$

⇒The amount of wax used to make spherical candle = 33.49 cu.inches

Now, the difference in the amount of wax needed by both candles

=  wax used to make (cylindrical candle - spherical candle)

= 50.24 cu.inches  - 33.49 cu.inches   = 20.74 cu. inches

Hence,  the difference in the amount of wax needed by both candles is 20.74 cu. inches