Question

A cylinder has a radius of 4.5 feet and a height of 13 feet. If the cylinder is dilated with a scale factor of k = 1.5, what is the new surface area?

A. 494.8 ft^2
B. 742.4 ft^2
C. 1,113.3 ft^2
D. 1,244.1 ft^2

Answer 1

`\Large \textsf{Read below}`

Explanation:

`\Large \text{$ \sf A = 2\:.\:\pi \:.\:r\:[\:r + h\:]$}`

`\Large \text{$ \sf A = 2\:.\:\pi \:.\:(4.5)\:[\:4.5 + 13\:]$}`

`\Large \text{$ \sf A = 2\:.\:\pi \:.\:(4.5)\:.\:(17.5)$}`

`\Large \text{$ \sf A = 494.8\:ft^2$}`

`\Large \text{$ \sf A = A * k^2$}`

`\Large \text{$ \sf A = 494.8 * (1.5)^2$}`

`\Large \text{$ \sf A = 494.8 * (2.25)$}`

`\Large \boxed{\boxed{\text{$ \sf A = 1,113.3\:ft^2$}}}`