Question

20. The volume of a right circular cone is 9856 cm3

. If the diameter of the base is

28 cm, find

1) Radius of the cone.

2) Height of the cone.

3) Slant height of the cone.

4) Curved surface area of the cone.

5) Total surface area of the cone.​

Answer 1

Step-by-step explanation:

1) 14cm

2) 48cm

3) 50cm

4)2200cm^2

5)2816cm^2

Answer 2

Step-by-step explanation:

Given,

Formula for the volume of a right circular cone is V=πr2$\frac{h}{3}$ = 9856 $cm^{2}$

Diameter of the base = 28cm

To find:-

1) Radius of the cone.

2) Height of the cone.

3) Slant height of the cone.

4) Curved surface area of the cone.

5) Total surface area of the cone.​

Solutions:-

1) Diameter of the base = 28cm.

Therefore, Radius = 28/2 = 14cm

2) Height of the cone = 3V/πr2 = 3*9856/3.14* = 48.02cm

3) Slant height of the cone = $\sqrt{r^{2}+h^{2} }$ = $\sqrt{14^{2} + 48.02^{2} }$ = 50.02cm

4) Curved surface area = πr$\sqrt{r^{2}+h^{2} }$ = 3.14*14$\sqrt{14^{2} + 48.02^{2} }$ = 2199.96$cm^{2}$

5) Total surface area of the cone = πr(r+$\sqrt{r^{2}+h^{2} }$) = 3.14*14(14+$\sqrt{14^{2} + 48.02^{2} }$) = 2815.71$cm^{2}$

Here are your answers. Hope they help!