embarlow5
embarlow5 embarlow5
  • 08-05-2021
  • Mathematics
contestada

Find the total surface area of this cone.
Leave your answer in terms of .
24in
+10in
SA = [ ? ]in2

Find the total surface area of this cone Leave your answer in terms of 24in 10in SA in2 class=

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abidemiokin
abidemiokin abidemiokin
  • 09-08-2021

The total surface area of the cone in terms of pi is 360π  square inches

Total surface area of a cone is expressed as

TSA =  πr(r+l)

Given that

radius = 10in

Height = 24in

Get the slant height 'l'.

l² = h²+r²

l² = 24²+10²

l² = 576+100

l² = 676

l = 26in

Substitute the given values into the formula

TSA = pi(10)(10+26)

TSA = pi(36)(10)

TSA = 360π in²

Hence the total surface area of the cone in terms of pi is 360π square inches

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