Question

calculate the total surface area of a conical solid whose radius is 14 cm and slant length is 20cm

Answer 1

To calculate the total surface area of a conical solid, you can use the formula:

\[
\text{Total Surface Area} = \pi r (r + l)
\]

where:
- \( r \) is the radius of the base,
- \( l \) is the slant height.

In this case:
- \( r = 14 \, \text{cm} \)
- \( l = 20 \, \text{cm} \)

Now, substitute the values into the formula:

\[
\text{Total Surface Area} = \pi \times 14 \times (14 + 20)
\]
\[
= \pi \times 14 \times 34
\]
\[
= \pi \times 476
\]
\[
\approx 1490.66 \, \text{cm}^2 \, (\text{using} \, \pi \approx 3.14)
\]

So, the total surface area of the conical solid is approximately \( 1490.66 \, \text{cm}^2 \).