Question

Please help me ASAP! thank you ^-^ As part of a new advertising campaign, a beverage company wants to increase the dimensions of their cans by 1.12. If the cans are currently 12 cm tall, 6 cm in diameter, and have a volume of 339.12 cm², how much more will the new cans hold? Use 3.14 for π and round your answer to the nearest hundredth. A 476.44 cm³ B 137.32 cm³ C 815.56 cm³ D 379.81 cm³

Answer 1

Answer:

B 137.32 cm³

Step-by-step explanation:

The original volume is

V = pi r^2 h

V = pi (3)^2 ( 12)

V =108 pi cm^2 = 339.12

the diameter increases by 1.12  6*1.12 = 6.72

r = 6.72 /2 =3.36

The height will increase by 1.12 so 12*1.12

V = pi ( 3.36)^2 ( 13.44)=476.4391834

The difference is

476.4391834 - 339.12 = 137.3191834

To the nearest hundredth

137.32