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3. Figure P1.8 shows a frustum of a cone. Match each of the expressions
(a) `pi(r_1 + r_2)[h^2 + (r_2 - r_1)^2]^(1/2),`
(b) `2pi(r_1 + r_2)`, and
(c) `pih(r_1^2 + r_1r_2 + r_2^2)//3`
with the quantity it describes:
(d) the total circumference of the flat circular faces,
(e) the volume, or
(f) the area of the curved surface.
3. Figure P1.8 shows a frustum of a cone. Match each of the expressions
(a) pi(r_1 + r_2)[h^2 + (r_2 - r_1)^2]^(1/2),
(b) 2pi(r_1 + r_2), and
(c) pih(r_1^2 + r_1r_2 + r_2^2)//3
with the quantity it describes:
(d) the total circumference of the flat circular faces,
(e) the volume, or
(f) the area of the curved surface. Match the unit
(a) `to` (f)
(b) `to` (d)
(c) `to` (e)
set the unit of `r` and `h` are `m`
(a)
`π(m +m)[m^2 +(m-m)^2]^(1/2)`
`=> m times sqrt(m^2)`
`=> m times m =>m^2`
the result unit is `m^2`
match (f) the unit of area is `m^2`
(b)
`2π(m +m) =>m`
the result unit is `m`
match (d) the unit of circumference is `m`
(c)
`πm(m^2 +mm + m^2)//3`
`=> m(m^2) =>m^3`
the result unit is `m^3`
match (c) the unit of volume is `m^3`
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