Question

slant hight of the cone is 34 cm and base diameters is 32 cm then heights of cone is​

Answer 1

$\huge\mathbb{\red{SOLUTION:-}}$

$\bold{Given:-}\begin{cases}\sf{Diameter\:of\:cone=32cm}\\ \sf{\implies Radius=16cm}\\ \sf{Slant\: height=34cm}\end{cases}$

$\huge{\sf{To\:Find:-}}$

• We have to find the height of cone

Now

$\bf\underline{\red{According\:To\: question:-}}$

• Formula:-

$\sf\purple{\implies{l{}^{2}=r{}^{2}+h{}^{2}}}$

• Where l is slant height

• r is radius

• h is height

• Now put the value to find the height of cone

$\sf\implies (34){}^{2}=(16){}^{2}+h{}^{2}\\ \\ \sf\implies 1156=256+h{}^{2}\\ \\ \sf\implies 1156-256=h{}^{2}\\ \\ \sf\implies \sqrt{900}=h\\ \\ \sf\red{\implies height=30cm}$

• The height of the cone is 30cm

$\underline{\star{\boxed{\blue{\sf{Height=30cm}}}}}$

Answer 2

$\huge{\blue{\boxed{\boxed{\boxed{\pink{\underline{\underline{\mathfrak{\red{AnSwEr}}}}}}}}}}$

See the attachmentß✌☺______✔