Question

As part of a new advertising campaign, a beverage company wants to increase the dimensions of their cans by a multiple of 1.10. If the cans are currently 12 cm tall, 6 cm in
diameter, and have a volume of 339.12 cm, how much more will the new cans hold? Use 3.14 forn and round your answer to the nearest hundredth.
O 112.25 cm
O 373.03 cm
O 451.37 cm
790.49 cm

Answer 1

Answer:

New can holds $112.25\,\,cm^3$ more than the old can

Step-by-step explanation:

Given: Diameter of the can is 6 cm and height is 12 cm such that volume of can is $339.12\,\,cm^3$

Dimensions of the can are increased by a multiple of 1.10

To find: Difference between the volume of new can and volume of old can

Solution:

Volume of can (v) = $339.12\,\,cm^3$

Let r, h denote radius and height of the can.

Let R, H denotes radius and height of the new can.

r = diameter/2 = $\frac{6}{2}=3\,\,cm$

h = 12 cm

R = $3(1.1)=3.3.\,\,cm$

H = $12(1.1)=13.2\,\,cm$

New volume (V) = $\pi (R)^2H=\pi(3.3)^2(13.2)=451.37\,\,cm^3$

So,

$V-v=451.37-339.12=112.25\,\,cm^3$