Question

Find the Lateral Area, Total Surface Area and Volume. Round your answer to two decimal places.​

Answer 1

Both are Cylinders

#1

• r=12in
• h=18in

LSA

• 2πrh
• 2π(12)(18)
• 432π
• 1356.48in²

TSA

• 2πr(h+r)
• 2π(12)(12+18)
• 30(24π)
• 720π
• 2260.8in²

Volume

• πr²h
• π(12)²(18)
• 144(18π)
• 8138.88in³

Note:-

Nothing rounded as we got all answers till 2 decimals.

#2

• r=5cm
• h=15cm

LSA

• 2πrh
• 2π(5)(15)
• 150π
• 471.00cm²

TSA

• 2πr(h+r)
• 2π(5)(5+15)
• 200π
• 628.00cm²

Volume

• πr²h
• π(5)²(15)
• 375π
• 1177.50cm³

Same Note

Answer 2

Lateral Surface Area: The total surface area of a three-dimensional object, excluding the bases.

Formulae

• 
  `\textsf{Lateral Surface Area of a cylinder}=\sf 2\pi rh`

• 
  `\textsf{Total Surface Area of a cylinder}=\sf 2 \pi r^2+2\pi rh`

• 
  `\textsf{Volume of a cylinder}=\sf \pi r^2 h`

`\textsf{(where r is the radius and h is the height)}`

Question 9

Given:

• r = 12 in
• h = 18 in

Substituting the given values into the formulas:

`\implies \sf L.A.=2 \pi (12)(18)=432 \pi=1357.17\:\:in^2\:(2\:d.p.)`

`\implies \sf T.A.=2 \pi (12)^2+2 \pi (12)(18)=720\pi=2261.95\:\:in^2\:(2\:d.p.)`

`\implies \sf Vol.=\pi (12)^2(18)=2592\pi=8143.01\:\:in^3\:(2\:d.p.)`

Question 10

Given:

• r = 5 cm
• h = 15 cm

Substituting the given values into the formulas:

`\implies \sf L.A.=2 \pi (5)(15)=150 \pi=471.24\:\:cm^2\:(2\:d.p.)`

`\implies \sf T.A.=2 \pi (5)^2 + 2 \pi (5)(15)=200 \pi=628.32\:\:cm^2\:(2\:d.p.)`

`\implies \sf Vol.=\pi (5)^2(15)=375 \pi=1178.10\:\:cm^3\:(2\:d.p.)`