Assertion -If the height of a cone is 24 cm and diameter of the base is 14 cm- then the slant height of the cone is 15 cm- Reason- If r be the radius and h be the height of the cone- then slant height -sqrt -h-2-r-2-Both Assertion and Reason are correct and Reason is the correct explanation AssertionBoth Assertion and Reason are correct but Reason is not the correct explanation AssertionAssertion is correct but Reason is incorrectAssertion is incorrect but Reason is correct

Question

Toppr Admin · Accepted Answer

We know that slant height -l-x221A-h2-r2So reason is true-Now it is given that height -h-24 cm- diameter-14 cm-x2234- radius -r-d2-142-7 cm-x2234-l-x221A-24-2-72-25Assertion is false -So- option D is correct-

We know that slant height =l=√h2+r2So reason is true,.Now it is given that height =h=24 cm, diameter=14 cm∴ radius =r=d2=142=7 cm∴l=√(24)2+72=25Assertion is false .So, option D is correct.

We know that slant height $= l = \sqrt{h^{2} + r^{2}}$
So reason is true,.
Now it is given that height $= h = 24$ cm, diameter $= 14$ cm
$∴$ radius $= r = \frac{d}{2} = \frac{14}{2} = 7$ cm
$∴ l = \sqrt{(24)^{2} + 7^{2}} = 25$
Assertion is false .
So, option D is correct.