Find the volume , curved surface area and the total surface area of a cylinder with diameter of base...

Find the volume , curved surface area and the total surface area of a cylinder with diameter of base 7 cm and height 40 cm.

Answer/Solution

957cm^2

Steps/Work

Volume = ∏r2 h = ((22/7)x(7/2)x(7/2)x40) = 1540 cm^3. .
Curved surface area = 2∏rh = (2x(22/7)x(7/2)x40)= 880 cm^2 .
Total surface area = 2∏rh + 2∏r2 = 2∏r (h + r)
= (2 x (22/7) x (7/2) x (40+3.5)) cm2
= 957 cm^2
Answer is B

Geometry Calculator / Auto Solver

Find the volume, curved surface area and the total surface area of a cylinder with diameter of base cm and height cm.

Calculated Answer

956.61496301809

Step by Step Solution

In order to solve problem, you must evaluate n₀ / 2^2 * 𝜋 * 2 + n₁ * n₀ * 𝜋.

n₀ =	7
n₁ =	40

n₀ / 2^2 * 𝜋 * 2 + n₁ * n₀ * 𝜋
Evaluate n₀ / 2 = 3.5
3.5^2 * 𝜋 * 2 + n₁ * n₀ * 𝜋
Evaluate 3.5^2 = 12.25
12.25 * 𝜋 * 2 + n₁ * n₀ * 𝜋
Evaluate 12.25 * 𝜋 = 38.484510006475
38.484510006475 * 2 + n₁ * n₀ * 𝜋
Evaluate 38.484510006475 * 2 = 76.96902001295
76.96902001295 + n₁ * n₀ * 𝜋
Evaluate n₀ * 𝜋 = 21.991148575129
76.96902001295 + n₁ * 21.991148575129
Evaluate n₁ * 21.991148575129 = 879.64594300514
76.96902001295 + 879.64594300514
Evaluate 76.96902001295 + 879.64594300514 = 956.61496301809
956.61496301809
The answer to the problem and the result of n₀ / 2^2 * 𝜋 * 2 + n₁ * n₀ * 𝜋 is 956.61496301809

Quiz

Answer/Solution

Steps/Work

Geometry Calculator / Auto Solver

Calculated Answer

Step by Step Solution