Question

A cylindrical tank of height 10 m and radius 5 m has a small circular cut of 0.5 m radius on its top surface. What would be the total surface area of the tank?

• A. 599∏/4 m²
• B. 156∏ m²
• C. 299∏/2 m²
• D. 150∏ m²

Answer 1

Answer:

A. 599∏/4 m²

Let’s quickly verify it in a clean way.

A cylinder has:

• Radius ( r = 5 ) m

• Height ( h = 10 ) m

• A circular hole of radius ( 0.5 ) m on the top

  Curved surface area

$2\pi rh = 2\pi \times 5 \times 10 = 100\pi$

Bottom surface area

Top surface area (with hole)

$\pi(5^2 - 0.5^2) = \pi(25 - 0.25) = 24.75\pi$

Total surface area

$100\pi + 25\pi + 24.75\pi = 149.75\pi$

Convert:
$149.75 = \frac{599}{4}$

So,
$\boxed{\frac{599\pi}{4}\ \text{m}^2}$

Final Answer: 599π/4 m²