To calculate the surface area of each can, we first need to find the radius of each can by dividing the diameter by 2.
For Can A:
Radius = 4 in / 2 = 2 in
Height = 5 in
Surface Area of Can A = 2πr^2 + 2πrh
Surface Area of Can A = 2π(2^2) + 2π(2)(5)
Surface Area of Can A = 2π(4) + 2π(10)
Surface Area of Can A = 8π + 20π
Surface Area of Can A = 28π in^2
For Can B:
Radius = 3 in / 2 = 1.5 in
Height = 7 in
Surface Area of Can B = 2πr^2 + 2πrh
Surface Area of Can B = 2π(1.5^2) + 2π(1.5)(7)
Surface Area of Can B = 2π(2.25) + 2π(10.5)
Surface Area of Can B = 4.5π + 21π
Surface Area of Can B = 25.5π in^2
To find the difference in surface area:
Surface Area of Can B - Surface Area of Can A = 25.5π - 28π
Surface Area of Can B - Surface Area of Can A = -2.5π
Can A has a greater surface area than Can B by 2.5π.
Can A Can B
Height 5 in Height 7 in
Width 4 in Width 3 in
Marina is comparing the surface area of two soda cans. Can A has a diameter of
and a height of
while can B has a diameter of
and a height of
.
Which can has a greater surface area, and by how much? Use
.
has a greater surface area by
.
1 answer