Question

a right circular cone is 84cm hight . the radius of the base is 35 cm. find the curved surface area and volume of the cone​

Answer 1

Concept Introduction:

An indication of how much overall space an object's surface takes up is its surface area.

Given, a right circular cone is  $84$ cm hight . the radius of the base is $35$ cm.

To find, the curved surface area and volume of the cone​

Solution:

Slant height = √$( 84$² $+ 35$² $)$ = $91$ cm²

Curved surface area = $3.14$ × $35$ $91 = 10000.9$ cm²

Final Answer :

The final answer is $10000.9$ cm²

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Answer 2

Answer:

1. surface area = 10000.9 cm2

2. Volume = 107702 cm3

Step-by-step explanation:

Given :- Right circular cone

• height :- 84 cm
• radius of base :- 35 cm

To find :-

• curved surface area
• Volume of cone .

Solution :-

Step 1) We know the formula for

a) curved surface area : ( S ) = $\pi rl$ -- (1)

b) Volume of cone : ( V ) = $\frac{\pi r^2h}{3}$ --- (2)

Step 2) For finding the length ,

$l^2 = h^2 + r^2$ --- (3) since length , height , and radius of the base of cone forms right angle triangle , thus by applying Pythagoras theorem

$l = \sqrt{(h^2)+(r^2)}\\ l = \sqrt{(84)^2 + (35)^2} \\l = 91$--- (3)

Step 3)

Thus , by using formula (1)

$S = \pi rl\\S = \pi *35*91 \\S = 10000.9 cm^2$ --- (4)

Step 4)

By using formula (2)

$V = \frac{\pi (35)^2*84}{3} \\V = 107702 cm^3$  ---- (5)

Therefore , answer is

1. surface area = 10000.9 cm2

2. Volume = 107702 cm3

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