Question

Q.39 – The volume of a right circular cone is 9856 cm” if the diameter of the
base is 28cm find :-
A. Height of the cone​

Answer 1

Answer:

the answer is 48.043.

Step-by-step explanation:

hope you understand the attachment..

Answer 2

Question:-

The volume of a right circular cone is 9856cm³. If the diameter of the base is 28cm find the height of the cone.

Required Answer:-

Given:-

• Volume of the cone is 9856cm³.
• Diameter of the base is 28cm.

To Find:-

• Height of the cone.

Solution:-

We were given:-

Diameter of the base is 28cm.

Hence, radius of the base = 28/2cm = 14cm

We know that:-

$\underline{\boxed{\sf{\pmb{Volume \: of \: a \: cone = \dfrac{1}{3} \pi {r}^{2}h \: cube\: unites}}}}$

Where,

• r is radius of the base,
• h is height of the cone.

According to the question:-

$\\ \sf{9856 = \dfrac{1}{3} \times \frac{22}{7} \times {14}^{2} \times h}$

$\\ \sf{\implies{h = \dfrac{9856 \times 3 \times 7}{22 \times 14 \times 14}}}$

$\\ \sf{\implies{h = \frac{206,976}{4312}}}$

$\\ \sf{\therefore{h = \bold{\red{48}}}}$

Hence, the height of the cone is 48cm

Some Extra Information:-

• Volume of a cone = 1/3π(r)^2 cube units

• Total Surface Area of cone =πrl+π(r)^2 square units

• Curved Surface Area of Cone = πrl square units

• Total Surface Area of Cylinder = 2πrh+2πr^2 square units

• Curved Surface Area of Cylinder = 2πrh square units.

• Volume of Cuboid = l×b×h cube units

• Total Surface Area of Cuboid = 2 (lb + bh + hl) square units

• Curved Surface Area of Cuboid = 2h(l +b) square units