Answer:
Question 1 ) Difference of Volume = 112.25 cm³
Question 2) Volume = 6400π feet³
Step-by-step explanation:
<h3>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 cm3, how much more will the new cans hold? Use 3.14 for π and round your answer to the nearest hundredth.</h3>
Diameter = 6 cm
Radius = 3 cm
Height = 12 cm
If we increase the dimension by 1.10, new dimesnions are:
Radius = 3 · 1.1 = 3.3 cm
Height = 12 · 1.1 = 13.2 cm
Volume = (Area)(Height) = (πr²)(Height)
Volume = (π)(3.3²)(13.2)
Volume = 451.37 cm³
Difference of Volume = 451.37 cm³ - 339.12 cm³
Difference of Volume = 112.25 cm³
<h3>
The circumference of a redwood tree trunk is 16π ft, and it is 100 ft tall. What is the approximate volume of the redwood tree trunk? </h3>
Circumference = 2πr = 16π = 2π(8) feet
Radius = 8 feet
Volume = Volume = (Area)(Height) = (πr²)(Height)
Volume = (π)((8²)(100)
Volume = 6400π feet³
