Question

the volume of a right circular cone is 9856 cm cube if the diameter of the base is 20 cm find the slant height height of the cone curved surface area of the cone. ​

Answer 1

Step-by-step explanation:

it is your answer hope it help you

Answer 2

The slant height height of the cone curved surface area of the cone is 94.61 cm and 2973.457 cm²

Step-by-step explanation:

Given data

• Volume of cone (V) = 9856 cm³

        Diameter of cone (D) = 20 cm

        So radius of cone (R) = 10 cm

        $\mathbf{Value\ of\ pie(\pi )=\frac{22}{7}}$

         Height of cone (H) = unknown

        Slant height of cone (L) = unknown

• We know the formula of volume of cone$\mathbf{(V)=\frac{1}{3}\times \pi \times R^{2}\times H}$

        Volume of cone = 9856

        $\mathbf{\frac{1}{3}\times \pi \times R^{2}\times H =9856}$

• On putting respective value in above equation

        $\mathbf{\frac{1}{3}\times \frac{22}{7} \times 10^{2}\times H =9856}$

       On solving, we get

       H = 94.08 cm

• We know the relation between slant height ,radius and height of cone

       L² = H² + R²

• On putting respective value in above equation

        L² = 94.08² + 10²

        On solving ,we get

        L = 94.61 cm  = This is value of slant height of cone

• From formula of curved surface area of cone

        Curved surface area of cone (C.S.A) = π×R×L

        $\mathbf{\textrm{Curved surface area of cone (C.S.A)}=\frac{22}{7}\times 10\times 94.61}$

        Curved surface area of cone = 2973.457 cm²