Question

The curved surface area of a cone is8108/7. Area of its base is 1782/7. Find its volume.

Answer 1

Answer:

Step-by-step explanation:

Find the value of base radius by using the given base area π r^2

By using the value of r, we can find the value of slant height 'l' since CSA is given (csa= πrl)

By using the value of slant height and radius, we can find the value of height (h)

of the cone.

Then we can find the volume of cone

= 1/3 π r^2 h cubic units.

Answer 2

HEY Buddy.....!! here is ur answer

Given that : The area of the base of the cone = 1782/7

As we know that : The area of the base of the cone = πr²

According to the question :

πr² = 1782/7

=> 22/7 × r² = 1782/7

=> r² = 81 => r = 9

Also, given that the curved surface area of the cone = 8108/7

As we know that : Curved surface area of the cone = πrl

Now, according to the question :

=> πrl = 8108/7

=> 22/7 × 9 × l = 8108/7

=> l = 40.94 = 41 approx

As we know that : h² = l²–r²

=> h² = (41)²–(9)²

=> h = √1681–81

=> h = √1600 = 40

Now, Volume of the cone = 1/3πr²h

=> Volume = 1/3×22/7×9×9×40

=> Volume = 3394.2

I hope it will be helpful for you...!!

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