Question

3. Curved surface area of a cone is 308 cm² and its slant height is 14 cm. Find
(i) radius of the base and (ii) total surface area of the cone​

Answer 1

Answer:

Step-by-step explanation:

ANSWER:-

Given that:-

• CSA of a cone is 308 metre square
• The Slant height is 14 cm

To find:-

1. The Radius of the base
2. TSA of the cone.

Let's Do it!

$\sf{\pi \times r \times l = CSA}$

$\dfrac{22}{7} \times r \times 14 = 308$

$r = \dfrac{308}{44}$

$\sf{r = 7 cm}$

Total Surface Area:-

$\sf{\pi \times r (l+r) = TSA}$

$\dfrac{22}{7}\times 7(7+14)$

$22(21)$

$\sf{= 462 \ cm^2}$ is the required answer.

Answer 2

Step-by-step explanation:

GIVEN:

CSA OF CONE=308 CM^2

HEIGHT =14 CM

TO FIND;

•RADIUS OF THE BASE.

•TOTAL SURFACE AREA OF CONE.

SOLUTION:

$csa = \pi \times r \times l \\ \\ = > 308 = \frac{22}{7} \times r \times 14 \\ \\ = > 308 = 44r \\ \\ = > r = \frac{308}{44} = 7cm$

NOW TOTAL SURFACE AREA:

$tsa = \pi \times r(l + r) \\ \\ = \frac{22}{7} \times 7(14 + 7) \\ \\ = 22 \times 21 = 461 \: {cm}^{2}$