Ulearngo is an independent study app. It is not affiliated with, endorsed by, or representing University of Ilorin (UNILORIN). Always confirm official exam, admission, registration, syllabus, timetable, and result information from UNILORIN official website.

MathematicsUNILORIN Post UTME

Options:

A.
B.
C.
D.
Sign in to view the correct answer and detailed explanation.

Study with fewer interruptions on Android

Use Ulearngo on a verified device for smoother past-question study.

Get Ulearngo on Google Play

Earlier discussion

2 older comments kept for context.

mustaphayn22

To find the curved surface area of a right circular cone, we can use the formula:

\[ \text{Curved Surface Area} = \pi r l \]

where \( r \) is the radius and \( l \) is the slant height of the cone.

First, we need to find the slant height \( l \). We can use the Pythagorean theorem, since the radius, height, and slant height form a right triangle:

\[ l = \sqrt{r^2 + h^2} \]

Given:

  • Radius \( r = 30 \) cm
  • Height \( h = 4 \) cm

Let's calculate the slant height \( l \):

\[ l = \sqrt{30^2 + 4^2} = \sqrt{900 + 16} = \sqrt{916} = 2\sqrt{229} \]

Now, we can find the curved surface area:

\[ \text{Curved Surface Area} = \pi \times 30 \times 2\sqrt{229} = 60\pi\sqrt{229} \]

So, the curved surface area of the cone is \( 60\pi\sqrt{229} \) square centimeters.

Ambrose Divine

Can I get the workings of this question please