To the nearest square inch, what is the surface area of the cone? The image consists of an inverted three-dimensional cone. The diameter of its circular base is 3 inches. The diagonal length from the base to the tip is 4 inches.

square inches

Step-by-step explanation:

Surface area of cone = , where r= radius of the base of cone, l= diagonal length from the base to the tip

As per given,

Diameter = 3 inches

radius(r) = inches

l = 4 inches

Surface area =

=

= square inches

Required surface area of cone = square inches

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.