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Скачать или смотреть Chapter 13 Surface Areas and Volumes Exercise 13.7 | Class 9 Maths NCERT Question Answer

  • The Study Adda
  • 2025-10-21
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Chapter 13 Surface Areas and Volumes Exercise 13.7 | Class 9 Maths NCERT Question Answer
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✅ In this video,
✔️ Class: 9th
✔️ Subject: Maths
✔️ Chapter: 13- Surface Areas and Volumes
✔️ Topic Name: Exercise 13.7

✔️ कक्षा: 9वीं
✔️ विषय: गणित
✔️ अध्याय: 13- पृष्ठ क्षेत्रफल और आयतन
✔️ विषय का नाम: अभ्यास 13.7

✔ kaksha: 9veen
✔ vishay: ganit
✔ adhyaay: 13- prishth kshetrafal aur aayatan
✔ vishay ka naam: abhyaas 13.7

Question Covered :-
1. Find the volume of the right circular cone with(i) radius 6 cm, height 7 cm (ii) radius 3.5 cm, height 12 cm 2. Find the capacity in litres of a conical vessel with(i) radius 7 cm, slant height 25 cm (ii) height 12 cm, slant height 13 cm 3. The height of a cone is 15 cm. If its volume is 1570 cm3, find the radius of the base. (Use π = 3.14) 4. If the volume of a right circular cone of height 9 cm is 48π cm3, find the diameter of its base. 5. A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kilolitres? 6. The volume of a right circular cone is 9856 cm3. If the diameter of the base is 28 cm, find(i) height of the cone      (ii) slant height of the cone(iii) curved surface area of the cone 7. A right 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. 8. 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. 9. 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.

1. (i) trijya 6 semee, oonchaee 7 semee (ii) trijya 3.5 semee, oonchaee 12 semee vaale lamb vrtteey shanku ka aayatan gyaat keejie. 2. (i) trijya 7 semee, tiryak oonchaee 25 semee (ii) oonchaee 12 semee, tiryak oonchaee 13 semee vaale shankvaakaar bartan kee leetar mein dhaarita gyaat keejie. 3. ek shanku kee oonchaee 15 semee hai. yadi isaka aayatan 1570 semee3 hai, to aadhaar kee trijya gyaat keejie. (p = 3.14 ka prayog karen) 4. yadi 9 semee oonchaee vaale lamb vrtteey shanku ka aayatan 48p semee3 hai, to isake aadhaar ka vyaas gyaat keejie. 5. sheersh vyaas 3.5 meetar vaala ek shankvaakaar gaddha 12 meetar gahara hai. isakee dhaarita kiloleetar mein kya hai? 6. ek lamb vrtteey shanku ka aayatan 9856 semee3 yadi aadhaar ka vyaas 28 semee hai, to gyaat keejie (i) shanku kee oonchaee (ii) shanku kee tiryak oonchaee (iii) shanku ka vakr prshtheey kshetraphal 7. 5 semee, 12 semee aur 13 semee bhujaon vaale ek samakon tribhuj abch ko 12 semee bhuja ke paritah ghumaaya jaata hai. is prakaar praapt thos ka aayatan gyaat keejie. 8. yadi uparokt prashn 7 mein tribhuj abch ko 5 semee bhuja ke paritah ghumaaya jaata hai, to is prakaar praapt thos ka aayatan gyaat keejie. prashn 7 aur 8 mein praapt do thos padaarthon ke aayatanon ka anupaat bhee gyaat keejie. 9. gehoon ka ek dher shanku ke aakaar ka hai jisaka vyaas 10.5 meetar aur oonchaee 3 meetar hai. isaka aayatan gyaat keejie. dher ko baarish se bachaane ke lie kainavaas se dhakana hai. aavashyak kainavaas ka kshetraphal gyaat keejie.

1. (i) त्रिज्या 6 सेमी, ऊंचाई 7 सेमी (ii) त्रिज्या 3.5 सेमी, ऊंचाई 12 सेमी वाले लम्ब वृत्तीय शंकु का आयतन ज्ञात कीजिए। 2. (i) त्रिज्या 7 सेमी, तिर्यक ऊंचाई 25 सेमी (ii) ऊंचाई 12 सेमी, तिर्यक ऊंचाई 13 सेमी वाले शंक्वाकार बर्तन की लीटर में धारिता ज्ञात कीजिए। 3. एक शंकु की ऊंचाई 15 सेमी है। यदि इसका आयतन 1570 सेमी3 है, तो आधार की त्रिज्या ज्ञात कीजिए। (π = 3.14 का प्रयोग करें) 4. यदि 9 सेमी ऊंचाई वाले लम्ब वृत्तीय शंकु का आयतन 48π सेमी3 है, तो इसके आधार का व्यास ज्ञात कीजिए। 5. शीर्ष व्यास 3.5 मीटर वाला एक शंक्वाकार गड्ढा 12 मीटर गहरा है। इसकी धारिता किलोलीटर में क्या है? 6. एक लम्ब वृत्तीय शंकु का आयतन 9856 सेमी3 यदि आधार का व्यास 28 सेमी है, तो ज्ञात कीजिए (i) शंकु की ऊँचाई (ii) शंकु की तिर्यक ऊँचाई (iii) शंकु का वक्र पृष्ठीय क्षेत्रफल 7. 5 सेमी, 12 सेमी और 13 सेमी भुजाओं वाले एक समकोण त्रिभुज ABC को 12 सेमी भुजा के परितः घुमाया जाता है।

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