The volume of a conical pencil is 4928in3. If the radius of the base is 4 in. Find its slant height of the conical pencil. Its original height is 10 in.
11.77in
14.77in
10.77in
12.77in
A
11.77in
B
14.77in
C
10.77in
D
12.77in
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Solution
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The radius, height and slant height form the Pythagoras triangle with slant height as the Pythagoras.
∴r2+h2=s2
We know that
r=4in
h=10in
∴42+102=s2
⇒s2=16+100
⇒s2=116
⇒s=√116
⇒s=10.77in
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