Question

1. Find the curved surface area, total surface area and volume of a right circular cone
whose base radius and height are respectively 5 cm and 12 cm.​

Answer 1

Answer:

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$\huge\mathfrak{\green{Answer}}$

C.S.A is 357.5 cm^2

T.S.A is 282.9 cm^2

Volume is 314.28 cm^3

Step-by-step explanation:

Given:-

• Radius is 5cm

• height is 12cm

To find:-

• Curved surface of cone

• Volume of the cone

• Total Surface area of the cone

Formulas:-

• For C.S.A of cone : πrl

• For T.S.A of cone : πr(r+l)

• For Volume of cone : 1/3 × π × r^2 × h

[Firstly, we will find the slant height, l of the respective cone]

l= √ r^2+ h^2

$l = \sqrt{ {5}^{2} + {12}^{2} } = > l = 13$

$\huge\mathcal{\green{Now,}}$

Curved surface area:-

πrl = 22/7× 5 × 13

= 22×65/7

= 357.5 cm^2

Total Surface area:-

πr(r+l)

$\frac{22}{7} \times 5(5 + 13) = \frac{22}{7} \times 5 \times 18$

$= 15.8 \times 18 = 282.9 {cm}^{2}$

Volume:-

$\frac{1}{3} \times \pi \times {r}^{2} \times h$

$= \frac{1}{3} \times \frac{22}{7} \times 25 \times 12 = \frac{22 \times 25 \times 4}{7} = 314.28 {cm}^{3}$

$\huge\mathcal{\green{Therefore,}}$

C.S.A is 357.5 {cm}^{2}

T.S.A is 282.9 {cm}^{2}

Volume is 314.28 {cm}^{3}

$\huge\mathcal{\green{All \ the \ very \ best! }}$

$\huge\mathfrak{\red{@MissTranquil}}$