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If the volume of a right circular cone of height 9 cm is 48 t cm', find the diameter of itsbase.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,find0 height of the cone(ii) slant height of the cone(ni) curved surface area of the coneAright 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 findthe volume of the solid so obtained. Find also the ratio of the volumes of the twosolids 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 thearea of the canvas required. |
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Answer» Answer: Q1: height of cone =9cm let radius of cone = R cmgiven 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=12mRadius of conical pit = r = diameter ÷ 2 = 3.5÷2 = 1.75mCapacity of pit = volume of cone1/3 π R² h(1/3 × 22/7 ×1.75 ×12) m³38.5 cm³38.5 kiloliters. |
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