1.

Que Height of a right circular cone is them. If its volume is a1570 cm find the radius of its base. (π= 3.14)​

Answer»

Given:-

  • The HEIGHT of CONE is 15 cm.
  • Its volume is 1570 cm.

To FIND:-

  • Radius of it's base?

Solution:-

Volume of cone

\dag { \boxed{ \underline{ \pink{⅓ \times \rm \pi \times {r}^{2} \times h}}}}

Where,

  • r = radius
  • h = height

According to the QUESTION:-

☞\frac{1}{3} \times \rm \pi \times {r}^{2} \times h = 1570 \\ \\ ☞ \cancel\frac{1}{3} \times \rm 3.14 \times {r}^{2} \times \cancel{15} = 1570 \\ \\ ☞ 3.14\times {r}^{2} \times 5 = 1570 \\ \\☞ {r}^{2} = \frac{1570}{3.14 \times 5} \\ \\☞ {r}^{2} = \cancel \frac {1570}{15.70} \\ \\ ☞{r}^{2} = 100 \\ \\ ☞r = \sqrt{100} \\ \\☞ \dag {\boxed {\blue{ r = 10}}}

HENCE, the radius of base is 10 cm.


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