Mensuration

Mensuration deals with the calculation of area, surface area and volume of geometrical figures.

This page offers Mensuration Maths Questions in Hindi and English with step-by-step solutions for SSC, Banking and Railways.

Practicing these questions improves geometry calculation skills.

The volume of a solid hemisphere is \(\frac{396}{7}\text{cm}^3\). Find the total surface area of hemisphere

The volume of a solid hemisphere is \(\frac{396}{7}\text{cm}^3\). Find the total surface area of hemisphere एक ठोस अर्धगोला (solid hemisphere) का आयतन \(\frac{396}{7}\text{cm}^3\) है। अर्धगोले का कुल पृष्ठीय क्षेत्रफल ज्ञात कीजिए।

The volume of a solid hemisphere is \(\frac{396}{7}\text{cm}^3\). Find the total surface area of hemisphere Read More »

If the total surface area of a hemisphere is \(462\text{cm}^2\) , calculate its radius.

If the total surface area of a hemisphere is \(462\text{cm}^2\) , calculate its radius. यदि एक अर्धगोले का कुल पृष्ठीय क्षेत्रफल $462 \text{ सेमी}^2$ है, तो उसकी त्रिज्या ज्ञात कीजिए।

If the total surface area of a hemisphere is \(462\text{cm}^2\) , calculate its radius. Read More »

If the area of the circular base of a hemisphere is \(308 {cm}^2\), find the volume of the hemisphere

If the area of the circular base of a hemisphere is \(308 {cm}^2\), find the volume of the hemisphere यदि एक अर्धगोले के वृत्ताकार आधार का क्षेत्रफल $308 \text{ सेमी}^2$ है, तो अर्धगोले का आयतन ज्ञात कीजिए।

If the area of the circular base of a hemisphere is \(308 {cm}^2\), find the volume of the hemisphere Read More »

The area of a sector is \(18\pi \text{cm}^2\), and its radius is 6 cm. What is the central angle (in radians)?

The area of a sector is \(18\pi \text{cm}^2\), and its radius is 6 cm. What is the central angle (in radians)? किसी वृत्तीय खंड (sector) का क्षेत्रफल $18\pi \text{ सेमी}^2$ है और उसकी त्रिज्या 6 सेमी है। केंद्रीय कोण (रेडियन में) ज्ञात कीजिए।

The area of a sector is \(18\pi \text{cm}^2\), and its radius is 6 cm. What is the central angle (in radians)? Read More »

A chord of length 24 cm subtends a right angle at the center of the circle. What is the radius of the circle?

A chord of length 24 cm subtends a right angle at the center of the circle. What is the radius of the circle? 24 सेमी लंबी एक जीवा वृत्त के केंद्र पर समकोण बनाती हैं। वृत्त की त्रिज्या क्या है?

A chord of length 24 cm subtends a right angle at the center of the circle. What is the radius of the circle? Read More »

A circle is inscribed in a right – angled triangle with legs of length 5 and 12.

A circle is inscribed in a right – angled triangle with legs of length 5 and 12. What is the area of the quadrilateral formed by the two legs and the two radii to the tangent points on the legs? एक वृत्त एक  समकोण त्रिभुज के अन्दर बना है जिसकी भुजाओं की लंम्बाई 5 और

A circle is inscribed in a right – angled triangle with legs of length 5 and 12. Read More »

In a circle of radius 10cm, a chord of length 16 cm is drawn. Find the distance from the center of the circle to the chord.

In a circle of radius 10cm, a chord of length 16 cm is drawn. Find the distance from the center of the circle to the chord. त्रिज्या 10 सेमी वाले एक वृत्त में 16 सेमी लंबाई का एक स्पर्श रेख खींचा गया है। वृत्त के केंद्र से उस स्पर्श रेख तक की दूरी ज्ञात कीजिए।

In a circle of radius 10cm, a chord of length 16 cm is drawn. Find the distance from the center of the circle to the chord. Read More »

A  trapezium has height 10cm and area 180cm^2. If one parallel side is 12 cm, what is the other side?

A  trapezium has height 10cm and area 180$ \text{cm}^2$. If one parallel side is 12 cm, what is the other side? एक समलम्ब चतुर्भुज की ऊँचाई 10 सेमी और क्षेत्रफल 180 $ \text{cm}^2 $ है। यदि एक समांतर भुजा 12 सेमी है, तो दूसरी समांतर भुजा कितनी होगी?

A  trapezium has height 10cm and area 180cm^2. If one parallel side is 12 cm, what is the other side? Read More »

A rectangle of side 8cm\times 6cm and a rhombus

A rectangle of side 8cm × 6cm and a rhombus (side = 8cm, acute angle $ 60^\circ$ are joined along one 8 cm side. what’s the ratio of their areas (rectangle : rhombus)? 8 सेमी × 6 सेमी भुजा वाला एक आयत और एक समबाहु चतुर्भुज जिसकी भुजा = 8 सेमी और तीव्र कोण $60^\circ$

A rectangle of side 8cm\times 6cm and a rhombus Read More »

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