Q: Find the radius of a cone with the slant height of 21 cm and a surface area of 232 pi?

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Slant height is 39.98 cm

Uisng the lateral area and tha radius, you should be able to find the height of the cone. Using the height and radius as the legs of a right triangle, use the Pythagorean Theorem. The hypotenuse is the slant height.

Assuming it is a right cone, use Pythagoras - slant height = hypotenuse, other two sides = radius of base, and height.

The surface area of a cone is the area of the base plus the area of the conical part. This is pi(r2 ) +pi(r)(s)=A If you have A and s, you can solve for r. ( s is the slant height and r is the radius)

Entire surface area of a cone = (pi*radius2)+(pi*radius*slant length) Use Pythagoras' theorem to find the slant length

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Slant height is 39.98 cm

Uisng the lateral area and tha radius, you should be able to find the height of the cone. Using the height and radius as the legs of a right triangle, use the Pythagorean Theorem. The hypotenuse is the slant height.

The height would be The square root of the square of the slant surface length minus the square of the radius of the cone at the base.

3

Assuming it is a right cone, use Pythagoras - slant height = hypotenuse, other two sides = radius of base, and height.

The surface area of a cone is the area of the base plus the area of the conical part. This is pi(r2 ) +pi(r)(s)=A If you have A and s, you can solve for r. ( s is the slant height and r is the radius)

What do you mean by the radius of 4? Radius is used in circles. Do you mean that the breadth is 4? If so you can use Pythagoras's Theorem to find the 'slant height' (provided that it is a right-angle triangle) (slant height)2=52+42

Entire surface area of a cone = (pi*radius2)+(pi*radius*slant length) Use Pythagoras' theorem to find the slant length

Total surface area: (pi*36)+(pi*6*12) = 339.292 square units rounded to 3 decimal places. That is assuming that you meant the slant length and not the slant height because otherwise you would need to use Pythagoras' theorem to find the slant length.

Label t radius 6cm the height 8cm and the slant height 10cm

Knowing the slant height helps because it represents the height of the triangle that makes up each lateral face. So, the slant height helps you to find the surface area of each lateral face.

Why do you need to FIND the slant height if you have the [lateral height and] slant height?