Question

Find the missing measures for a right circular cone.

r = 3
l =
h = 5
L.A. =
T.A. = +
V =

Answer 1

l = root(h² + r²) = root(5² + 3²) = root(25 + 9) = root(34)
so
\[l = \sqrt{34}\]

Answer 2

L.A. = πrl
so
LA = π*3*root(34) = \[3\sqrt{34}\pi\]
or
22
LA = --- * 3 * root(34) = 54.97 sq unit
7

Answer 3

T.A. = πrl + πr² (since we have already calculated the value of πrl, we use it here directly)
22
T.A. = 3 root(34) π + π * 3² = 54.97 sq unit + --- * 9 = 54.97 sq unit + 28.29 sq unit
7
= 83.26 sq unit

Answer 4

1 1 22
V = ---- πr²h = --- * --- * 3² * 5
3 3 7
22 * 9 * 5
V = ---------- = 47.14 cubic unit
21