If the volume of a right circular cone of height 9 cm is 48 t cm', find the diameter of its
base.
A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kilolitres?
The volume of a right circular cone is 9856 cm'. If the diameter of the base is 28 cm,
find
0 height of the cone
(ii) slant height of the cone
(ni) curved surface area of the cone
Aright triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm.
Find the volume of the solid so obtained.
If the triangle ABC in the Question 7 above is revolved about the side 5 cm, then find
the volume of the solid so obtained. Find also the ratio of the volumes of the two
solids obtained in Questions 7 and 8.
A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m.
Find its volume. The heap is to be covered by canvas to protect it from rain. Find the
area of the canvas required.
Answers
Answered by
0
Answer:
Q1: height of cone =9cm
let radius of cone = r cm
given volume of cone = 48 π cm^3
1/3 πr^2h= 48π
1/3 πr^2 *(9) = 48π
πr^2 3= 48π
r^2 = 48π/3π
r^2 = 16
r = √16
r = √(4)²
r = 4cm
diamemter = 2 ×radius
⇒2×4 = 8cm
∴ the diameter of the cone is 8cm
Q2: height of conical pit = h=12m
Radius of conical pit = r = diameter ÷ 2 = 3.5÷2 = 1.75m
Capacity of pit = volume of cone
1/3 π R² h
(1/3 × 22/7 ×1.75 ×12) m³
38.5 cm³
38.5 kiloliters.
Similar questions