Question

An ice cream shop serves small and large scoops of ice cream. Each scoop is sphere-shaped. Each small scoop has a diameter of approximately 6 centimeters. Each large scoop has a diameter of approximately 10 centimeters ​What is the difference, in cubic centimeters, between a large scoop of ice cream and a small scoop of ice cream? Round your answer to the nearest tenth.

Answer 1

Answer:

The difference in volume is 410.29 cubic cm.

Step-by-step explanation:

We are given the following in the question:

Diameter of large scoop = 10 cm

D = 10 cm

$R =\dfrac{D}{2} = 5 ~cm$

Diameter of small scoop = 6 cm

d = 6 cm

$r = \dfrac{d}{2} = 3~cm$

Volume of sphere:

$V = \dfrac{4}{3}\pi r^3$

where r is the radius

Difference in volume =

$V_L-V_S\\\\=\dfrac{4}{3}\pi (R^3 - r^3)\\\\=\frac{4}{3}\times (3.14) \times ((5)^3-(4)^3)\\\\= 410.29$

Thus, the difference in volume is 410.29 cubic cm.