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

Angle 1 and angle 2 are a linear pair. Measure of angle 1 = x-36, and measure of angle 2 = x+84. Find the measure of each angle.
How to say I'm eating in german
???????????? Can I has h
Which statement defines the temperature of a sample of matter?1) Temperature is a measure of the total electromagnetic energy of the particles.2) Temperature is
Tamara is reviewing recent orders at her deli to determine which meats she should order. She found that of 1,000 orders, 450 customers ordered turkey, 375 custo
Rewrite the expression by using grouping symbols. y • 4 + y • z A.4(y + z)      B.y • (4 + y) • z        C.z(y • 4)          D.y (4 + z)
why treaty of versailles made ww2
What is the percentage of 199.50 out of 286?
WHAT IS THE SQUARE ROOT OF 55
Why is the UK a developed country?