lankeshbankar123 lankeshbankar123
  • 14-04-2024
  • Mathematics
contestada

The curved surface area of a cone is 12320 cm square if the radius of its base is 56 find its height.

Write answer in 200 words

Respuesta :

reinhard10158
reinhard10158 reinhard10158
  • 14-04-2024

Step-by-step explanation:

the area of the curved surface is

pi×radius×slanted height

the slanted height is calculated by Pythagoras :

(slanted height)² = (inner height)² + radius²

12320 cm² = pi×radius×sqrt((inner height)² + radius²)

to get rid of the square root we square everything :

151,782,400 = pi²×56²×((inner height)² + 56²)

4,903.945288... = (inner height)² + 3136

(inner height)² = 1,767.945288...

inner height = 42.04694149... cm

Answer Link

Otras preguntas

Why did the king end the stamp act
fraction and mixed numbers to simplest form. 3 28/24 =
What were two early uses of the wheel
The costs of 5 similar digital cameras and 3 similar video cameras is $3,213. Each video camera costs 4 times as much as each digital camera. John buys a digita
Diane has %1.75 in dimes and nickels. She has a total of 21 coins. How many of each does she have?
Marianne buys 16 bags of potting soil that comes in 5/8-pound bags. How many pounds of potting soil does Marianne buy?
If a 10-pound sack of potatoes costs $6.55, how much would 1 pound cost? Round your answer to the nearest cent.
How did trade help the songhai kingdom to grow
why should we use fossil fuels wisely
How do you express the fraction 2/9 as a decimal?