Once four friends Rahul, Arun, Ajay and Vijay went for a picnic at a hill station. Due to peak season, they did not get a proper hotel in the city. The weather was fine, so they decided to make a conical tent at a park. They were carrying 300m2 cloth with them. As shown in the figure they made the tent with height 10 m and diameter 14 m. The remaining cloth was used for the floor.​

question img
  • matematika

    Subject:

    Math
  • Author:

    cocoa
  • Created:

    1 year ago

Answers 2

Step-by-step explanation:

height (h) = 10m

height (h) = 10mdiameter (d) = 14 m

height (h) = 10mdiameter (d) = 14 mradius (r) = 14/2 = 7 m

height (h) = 10mdiameter (d) = 14 mradius (r) = 14/2 = 7 mTotal area of the cloth = 300 m²

i. l=√(h²+r²)

l=√[(10)²+(7)²]

l=√[100+49]

l=√149

l=12.2 m

ii. Area of cloth used for the floor

= Total Area of cloth - Area of cloth used in Tent

= Total Area of cloth - CSA of Conical Tent

= 300 - πrl

= 300 - (22/7)×7×12.2

= 300-(22×12.2)

= 300-268.4

= 31.6 m²

iii. Volume of the Tent

= Volume of the cone

= (⅓)πr²h

=(⅓)×(22/7)×(7)²×10

= (⅓)×22×7×10

= (⅓)×1540

= 513.33 m³

iv. Area of the floor of the tent

= Area of the circular base of the conical tent

= πr²

= (22/7)×7×7

= 154 cm²

Answer:

This is guarantee correct

by pran mkr

height (h) = 10m

diameter (d) = 14 m

radius (r) = 14/2 = 7 m

Total area of the cloth = 300 m²

i. l=√(h²+r²)

l=√[(10)²+(7)²]

l=√[100+49]

l=√149

l=12.2 m

Hence, b) would be the correct option.

ii. Area of cloth used for the floor

= Total Area of cloth - Area of cloth used in Tent

= Total Area of cloth - CSA of Conical Tent

= 300 - πrl

= 300 - (22/7)×7×12.2

= 300-(22×12.2)

= 300-268.4

= 31.6 m²

Hence, a) would be the correct option.

iii. Volume of the Tent

= Volume of the cone

= (⅓)πr²h

=(⅓)×(22/7)×(7)²×10

= (⅓)×22×7×10

= (⅓)×1540

= 513.33 m³

Hence, c) would be the correct option.

iv. Area of the floor of the tent

= Area of the circular base of the conical tent

= πr²

= (22/7)×7×7

= 154 cm²

please support

If you know the answer add it here!

Can't find the answer?

Log in with Google

or

Forgot your password?

I don't have an account, and I want to Register

Choose a language and a region
How much to ban the user?
1 hour 1 day 100 years